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Finding the Fourth Proportional to 861.51, 1,188.82 and 512.13

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Solution

The fourth proportional to 861.51, 1,188.82 and 512.13 is: 706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.51 : 1,188.82 = 512.13 : x
  2. Step 2: Convert to fraction form
    861.51/1,188.82 = 512.13/x
  3. Step 3: Cross multiply
    861.51x = 1,188.82 × 512.13
  4. Step 4: Simplify right side
    861.51x = 608,830.39
  5. Step 5: Solve for x
    x = 608,830.39/861.51
  6. Step 6: Final answer
    x = 706.70

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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.