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Finding the Fourth Proportional to 756.74, 1,044.22 and 442

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Solution

The fourth proportional to 756.74, 1,044.22 and 442 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.74 : 1,044.22 = 442 : x
  2. Step 2: Convert to fraction form
    756.74/1,044.22 = 442/x
  3. Step 3: Cross multiply
    756.74x = 1,044.22 × 442
  4. Step 4: Simplify right side
    756.74x = 461,545.24
  5. Step 5: Solve for x
    x = 461,545.24/756.74
  6. Step 6: Final answer
    x = 609.91

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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.