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Finding the Fourth Proportional to 1,059.50, 1,462.14 and 593.78

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Solution

The fourth proportional to 1,059.50, 1,462.14 and 593.78 is: 819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.50 : 1,462.14 = 593.78 : x
  2. Step 2: Convert to fraction form
    1,059.50/1,462.14 = 593.78/x
  3. Step 3: Cross multiply
    1,059.50x = 1,462.14 × 593.78
  4. Step 4: Simplify right side
    1,059.50x = 868,189.49
  5. Step 5: Solve for x
    x = 868,189.49/1,059.50
  6. Step 6: Final answer
    x = 819.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.