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Finding the Fourth Proportional to 1,324.35, 1,986.37 and 593.53

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Solution

The fourth proportional to 1,324.35, 1,986.37 and 593.53 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.35 : 1,986.37 = 593.53 : x
  2. Step 2: Convert to fraction form
    1,324.35/1,986.37 = 593.53/x
  3. Step 3: Cross multiply
    1,324.35x = 1,986.37 × 593.53
  4. Step 4: Simplify right side
    1,324.35x = 1,178,967.07
  5. Step 5: Solve for x
    x = 1,178,967.07/1,324.35
  6. Step 6: Final answer
    x = 890.22

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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.