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Finding the Fourth Proportional to 757.17, 1,044.99 and 442.45

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Solution

The fourth proportional to 757.17, 1,044.99 and 442.45 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.17 : 1,044.99 = 442.45 : x
  2. Step 2: Convert to fraction form
    757.17/1,044.99 = 442.45/x
  3. Step 3: Cross multiply
    757.17x = 1,044.99 × 442.45
  4. Step 4: Simplify right side
    757.17x = 462,353.21
  5. Step 5: Solve for x
    x = 462,353.21/757.17
  6. Step 6: Final answer
    x = 610.63

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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.