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Finding the Fourth Proportional to 757.06, 1,044.56 and 442.14

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Solution

The fourth proportional to 757.06, 1,044.56 and 442.14 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.06 : 1,044.56 = 442.14 : x
  2. Step 2: Convert to fraction form
    757.06/1,044.56 = 442.14/x
  3. Step 3: Cross multiply
    757.06x = 1,044.56 × 442.14
  4. Step 4: Simplify right side
    757.06x = 461,834.32
  5. Step 5: Solve for x
    x = 461,834.32/757.06
  6. Step 6: Final answer
    x = 610.04

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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.