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Finding the Fourth Proportional to 757.31, 1,045.08 and 442.55

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Solution

The fourth proportional to 757.31, 1,045.08 and 442.55 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,045.08 = 442.55 : x
  2. Step 2: Convert to fraction form
    757.31/1,045.08 = 442.55/x
  3. Step 3: Cross multiply
    757.31x = 1,045.08 × 442.55
  4. Step 4: Simplify right side
    757.31x = 462,494.93
  5. Step 5: Solve for x
    x = 462,494.93/757.31
  6. Step 6: Final answer
    x = 610.71

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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.