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Finding the Fourth Proportional to 861.90, 1,189.68 and 512.79

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Solution

The fourth proportional to 861.90, 1,189.68 and 512.79 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.90 : 1,189.68 = 512.79 : x
  2. Step 2: Convert to fraction form
    861.90/1,189.68 = 512.79/x
  3. Step 3: Cross multiply
    861.90x = 1,189.68 × 512.79
  4. Step 4: Simplify right side
    861.90x = 610,056.01
  5. Step 5: Solve for x
    x = 610,056.01/861.90
  6. Step 6: Final answer
    x = 707.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.