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Finding the Fourth Proportional to 1,087.97, 1,632.24 and 502.49

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Solution

The fourth proportional to 1,087.97, 1,632.24 and 502.49 is: 753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.97 : 1,632.24 = 502.49 : x
  2. Step 2: Convert to fraction form
    1,087.97/1,632.24 = 502.49/x
  3. Step 3: Cross multiply
    1,087.97x = 1,632.24 × 502.49
  4. Step 4: Simplify right side
    1,087.97x = 820,184.28
  5. Step 5: Solve for x
    x = 820,184.28/1,087.97
  6. Step 6: Final answer
    x = 753.87

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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.