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Finding the Fourth Proportional to 861.77, 1,188.82 and 512.21

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Solution

The fourth proportional to 861.77, 1,188.82 and 512.21 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.77 : 1,188.82 = 512.21 : x
  2. Step 2: Convert to fraction form
    861.77/1,188.82 = 512.21/x
  3. Step 3: Cross multiply
    861.77x = 1,188.82 × 512.21
  4. Step 4: Simplify right side
    861.77x = 608,925.49
  5. Step 5: Solve for x
    x = 608,925.49/861.77
  6. Step 6: Final answer
    x = 706.60

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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.