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Finding the Fourth Proportional to 861.52, 1,188.64 and 512.16

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Solution

The fourth proportional to 861.52, 1,188.64 and 512.16 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.52 : 1,188.64 = 512.16 : x
  2. Step 2: Convert to fraction form
    861.52/1,188.64 = 512.16/x
  3. Step 3: Cross multiply
    861.52x = 1,188.64 × 512.16
  4. Step 4: Simplify right side
    861.52x = 608,773.86
  5. Step 5: Solve for x
    x = 608,773.86/861.52
  6. Step 6: Final answer
    x = 706.63

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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.