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Finding the Fourth Proportional to 861.50, 1,189.18 and 512.18

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Solution

The fourth proportional to 861.50, 1,189.18 and 512.18 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.50 : 1,189.18 = 512.18 : x
  2. Step 2: Convert to fraction form
    861.50/1,189.18 = 512.18/x
  3. Step 3: Cross multiply
    861.50x = 1,189.18 × 512.18
  4. Step 4: Simplify right side
    861.50x = 609,074.21
  5. Step 5: Solve for x
    x = 609,074.21/861.50
  6. Step 6: Final answer
    x = 706.99

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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.