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Finding the Fourth Proportional to 1,044.25, 1,564.24 and 494.76

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Solution

The fourth proportional to 1,044.25, 1,564.24 and 494.76 is: 741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.25 : 1,564.24 = 494.76 : x
  2. Step 2: Convert to fraction form
    1,044.25/1,564.24 = 494.76/x
  3. Step 3: Cross multiply
    1,044.25x = 1,564.24 × 494.76
  4. Step 4: Simplify right side
    1,044.25x = 773,920.91
  5. Step 5: Solve for x
    x = 773,920.91/1,044.25
  6. Step 6: Final answer
    x = 741.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.