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Finding the Fourth Proportional to 1,087.46, 1,500.66 and 615.38

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Solution

The fourth proportional to 1,087.46, 1,500.66 and 615.38 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.46 : 1,500.66 = 615.38 : x
  2. Step 2: Convert to fraction form
    1,087.46/1,500.66 = 615.38/x
  3. Step 3: Cross multiply
    1,087.46x = 1,500.66 × 615.38
  4. Step 4: Simplify right side
    1,087.46x = 923,476.15
  5. Step 5: Solve for x
    x = 923,476.15/1,087.46
  6. Step 6: Final answer
    x = 849.20

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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.