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Finding the Fourth Proportional to 861.35, 1,188.64 and 512.15

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Solution

The fourth proportional to 861.35, 1,188.64 and 512.15 is: 706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.35 : 1,188.64 = 512.15 : x
  2. Step 2: Convert to fraction form
    861.35/1,188.64 = 512.15/x
  3. Step 3: Cross multiply
    861.35x = 1,188.64 × 512.15
  4. Step 4: Simplify right side
    861.35x = 608,761.98
  5. Step 5: Solve for x
    x = 608,761.98/861.35
  6. Step 6: Final answer
    x = 706.75

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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.