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Finding the Fourth Proportional to 861.98, 1,189.34 and 512.78

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Solution

The fourth proportional to 861.98, 1,189.34 and 512.78 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.98 : 1,189.34 = 512.78 : x
  2. Step 2: Convert to fraction form
    861.98/1,189.34 = 512.78/x
  3. Step 3: Cross multiply
    861.98x = 1,189.34 × 512.78
  4. Step 4: Simplify right side
    861.98x = 609,869.77
  5. Step 5: Solve for x
    x = 609,869.77/861.98
  6. Step 6: Final answer
    x = 707.52

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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.