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Finding the Fourth Proportional to 861.54, 1,188.93 and 512.16

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Solution

The fourth proportional to 861.54, 1,188.93 and 512.16 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.54 : 1,188.93 = 512.16 : x
  2. Step 2: Convert to fraction form
    861.54/1,188.93 = 512.16/x
  3. Step 3: Cross multiply
    861.54x = 1,188.93 × 512.16
  4. Step 4: Simplify right side
    861.54x = 608,916.97
  5. Step 5: Solve for x
    x = 608,916.97/861.54
  6. Step 6: Final answer
    x = 706.78

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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.