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Finding the Fourth Proportional to 757.08, 1,044.50 and 442.24

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Solution

The fourth proportional to 757.08, 1,044.50 and 442.24 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.08 : 1,044.50 = 442.24 : x
  2. Step 2: Convert to fraction form
    757.08/1,044.50 = 442.24/x
  3. Step 3: Cross multiply
    757.08x = 1,044.50 × 442.24
  4. Step 4: Simplify right side
    757.08x = 461,914.86
  5. Step 5: Solve for x
    x = 461,914.86/757.08
  6. Step 6: Final answer
    x = 610.13

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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.