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Finding the Fourth Proportional to 861.38, 1,188.50 and 582.13

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Solution

The fourth proportional to 861.38, 1,188.50 and 582.13 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.38 : 1,188.50 = 582.13 : x
  2. Step 2: Convert to fraction form
    861.38/1,188.50 = 582.13/x
  3. Step 3: Cross multiply
    861.38x = 1,188.50 × 582.13
  4. Step 4: Simplify right side
    861.38x = 691,861.51
  5. Step 5: Solve for x
    x = 691,861.51/861.38
  6. Step 6: Final answer
    x = 803.20

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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.