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Finding the Fourth Proportional to 695.74, 1,044.12 and 560.42

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Solution

The fourth proportional to 695.74, 1,044.12 and 560.42 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.74 : 1,044.12 = 560.42 : x
  2. Step 2: Convert to fraction form
    695.74/1,044.12 = 560.42/x
  3. Step 3: Cross multiply
    695.74x = 1,044.12 × 560.42
  4. Step 4: Simplify right side
    695.74x = 585,145.33
  5. Step 5: Solve for x
    x = 585,145.33/695.74
  6. Step 6: Final answer
    x = 841.04

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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.