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Finding the Fourth Proportional to 861.24, 1,188.54 and 511.86

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Solution

The fourth proportional to 861.24, 1,188.54 and 511.86 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.24 : 1,188.54 = 511.86 : x
  2. Step 2: Convert to fraction form
    861.24/1,188.54 = 511.86/x
  3. Step 3: Cross multiply
    861.24x = 1,188.54 × 511.86
  4. Step 4: Simplify right side
    861.24x = 608,366.08
  5. Step 5: Solve for x
    x = 608,366.08/861.24
  6. Step 6: Final answer
    x = 706.38

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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.