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Finding the Fourth Proportional to 1,044.56, 1,565.48 and 582.10

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Solution

The fourth proportional to 1,044.56, 1,565.48 and 582.10 is: 872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.56 : 1,565.48 = 582.10 : x
  2. Step 2: Convert to fraction form
    1,044.56/1,565.48 = 582.10/x
  3. Step 3: Cross multiply
    1,044.56x = 1,565.48 × 582.10
  4. Step 4: Simplify right side
    1,044.56x = 911,265.91
  5. Step 5: Solve for x
    x = 911,265.91/1,044.56
  6. Step 6: Final answer
    x = 872.39

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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.