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Finding the Fourth Proportional to 861.05, 1,188.18 and 506.99

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Solution

The fourth proportional to 861.05, 1,188.18 and 506.99 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.05 : 1,188.18 = 506.99 : x
  2. Step 2: Convert to fraction form
    861.05/1,188.18 = 506.99/x
  3. Step 3: Cross multiply
    861.05x = 1,188.18 × 506.99
  4. Step 4: Simplify right side
    861.05x = 602,398.35
  5. Step 5: Solve for x
    x = 602,398.35/861.05
  6. Step 6: Final answer
    x = 699.61

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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.