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Finding the Fourth Proportional to 861.48, 1,291.38 and 374.16

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Solution

The fourth proportional to 861.48, 1,291.38 and 374.16 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.48 : 1,291.38 = 374.16 : x
  2. Step 2: Convert to fraction form
    861.48/1,291.38 = 374.16/x
  3. Step 3: Cross multiply
    861.48x = 1,291.38 × 374.16
  4. Step 4: Simplify right side
    861.48x = 483,182.74
  5. Step 5: Solve for x
    x = 483,182.74/861.48
  6. Step 6: Final answer
    x = 560.88

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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.