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Finding the Fourth Proportional to 861.33, 1,284.63 and 732.18

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Solution

The fourth proportional to 861.33, 1,284.63 and 732.18 is: 1,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.33 : 1,284.63 = 732.18 : x
  2. Step 2: Convert to fraction form
    861.33/1,284.63 = 732.18/x
  3. Step 3: Cross multiply
    861.33x = 1,284.63 × 732.18
  4. Step 4: Simplify right side
    861.33x = 940,580.39
  5. Step 5: Solve for x
    x = 940,580.39/861.33
  6. Step 6: Final answer
    x = 1,092.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.