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Finding the Fourth Proportional to 861, 1,188.34 and 511.68

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Solution

The fourth proportional to 861, 1,188.34 and 511.68 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 1,188.34 = 511.68 : x
  2. Step 2: Convert to fraction form
    861/1,188.34 = 511.68/x
  3. Step 3: Cross multiply
    861x = 1,188.34 × 511.68
  4. Step 4: Simplify right side
    861x = 608,049.81
  5. Step 5: Solve for x
    x = 608,049.81/861
  6. Step 6: Final answer
    x = 706.21

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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.