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Finding the Fourth Proportional to 1,044.99, 1,442.12 and 572.85

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Solution

The fourth proportional to 1,044.99, 1,442.12 and 572.85 is: 790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.99 : 1,442.12 = 572.85 : x
  2. Step 2: Convert to fraction form
    1,044.99/1,442.12 = 572.85/x
  3. Step 3: Cross multiply
    1,044.99x = 1,442.12 × 572.85
  4. Step 4: Simplify right side
    1,044.99x = 826,115.58
  5. Step 5: Solve for x
    x = 826,115.58/1,044.99
  6. Step 6: Final answer
    x = 790.55

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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.