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Finding the Fourth Proportional to 859.99, 1,290.09 and 243.67

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Solution

The fourth proportional to 859.99, 1,290.09 and 243.67 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,290.09 = 243.67 : x
  2. Step 2: Convert to fraction form
    859.99/1,290.09 = 243.67/x
  3. Step 3: Cross multiply
    859.99x = 1,290.09 × 243.67
  4. Step 4: Simplify right side
    859.99x = 314,356.23
  5. Step 5: Solve for x
    x = 314,356.23/859.99
  6. Step 6: Final answer
    x = 365.53

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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.