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Finding the Fourth Proportional to 1,087.31, 1,500.49 and 589.96

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Solution

The fourth proportional to 1,087.31, 1,500.49 and 589.96 is: 814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.31 : 1,500.49 = 589.96 : x
  2. Step 2: Convert to fraction form
    1,087.31/1,500.49 = 589.96/x
  3. Step 3: Cross multiply
    1,087.31x = 1,500.49 × 589.96
  4. Step 4: Simplify right side
    1,087.31x = 885,229.08
  5. Step 5: Solve for x
    x = 885,229.08/1,087.31
  6. Step 6: Final answer
    x = 814.15

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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.