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Finding the Fourth Proportional to 861.84, 1,285.38 and 732.68

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Solution

The fourth proportional to 861.84, 1,285.38 and 732.68 is: 1,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,285.38 = 732.68 : x
  2. Step 2: Convert to fraction form
    861.84/1,285.38 = 732.68/x
  3. Step 3: Cross multiply
    861.84x = 1,285.38 × 732.68
  4. Step 4: Simplify right side
    861.84x = 941,772.22
  5. Step 5: Solve for x
    x = 941,772.22/861.84
  6. Step 6: Final answer
    x = 1,092.75

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1.5x scale

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.