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Finding the Fourth Proportional to 1,059.59, 1,462.16 and 593.75

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Solution

The fourth proportional to 1,059.59, 1,462.16 and 593.75 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.59 : 1,462.16 = 593.75 : x
  2. Step 2: Convert to fraction form
    1,059.59/1,462.16 = 593.75/x
  3. Step 3: Cross multiply
    1,059.59x = 1,462.16 × 593.75
  4. Step 4: Simplify right side
    1,059.59x = 868,154.53
  5. Step 5: Solve for x
    x = 868,154.53/1,059.59
  6. Step 6: Final answer
    x = 819.33

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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.