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Finding the Fourth Proportional to 861.35, 1,291.68 and 374.06

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Solution

The fourth proportional to 861.35, 1,291.68 and 374.06 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.35 : 1,291.68 = 374.06 : x
  2. Step 2: Convert to fraction form
    861.35/1,291.68 = 374.06/x
  3. Step 3: Cross multiply
    861.35x = 1,291.68 × 374.06
  4. Step 4: Simplify right side
    861.35x = 483,169.05
  5. Step 5: Solve for x
    x = 483,169.05/861.35
  6. Step 6: Final answer
    x = 560.95

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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.