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Finding the Fourth Proportional to 1,323.85, 1,986.45 and 593.23

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Solution

The fourth proportional to 1,323.85, 1,986.45 and 593.23 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.85 : 1,986.45 = 593.23 : x
  2. Step 2: Convert to fraction form
    1,323.85/1,986.45 = 593.23/x
  3. Step 3: Cross multiply
    1,323.85x = 1,986.45 × 593.23
  4. Step 4: Simplify right side
    1,323.85x = 1,178,421.73
  5. Step 5: Solve for x
    x = 1,178,421.73/1,323.85
  6. Step 6: Final answer
    x = 890.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.