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Finding the Fourth Proportional to 1,087.61, 1,500.80 and 615.55

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Solution

The fourth proportional to 1,087.61, 1,500.80 and 615.55 is: 849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.61 : 1,500.80 = 615.55 : x
  2. Step 2: Convert to fraction form
    1,087.61/1,500.80 = 615.55/x
  3. Step 3: Cross multiply
    1,087.61x = 1,500.80 × 615.55
  4. Step 4: Simplify right side
    1,087.61x = 923,809.94
  5. Step 5: Solve for x
    x = 923,809.94/1,087.61
  6. Step 6: Final answer
    x = 849.39

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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.