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Finding the Fourth Proportional to 861.73, 1,189.46 and 551.23

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Solution

The fourth proportional to 861.73, 1,189.46 and 551.23 is: 760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.73 : 1,189.46 = 551.23 : x
  2. Step 2: Convert to fraction form
    861.73/1,189.46 = 551.23/x
  3. Step 3: Cross multiply
    861.73x = 1,189.46 × 551.23
  4. Step 4: Simplify right side
    861.73x = 655,666.04
  5. Step 5: Solve for x
    x = 655,666.04/861.73
  6. Step 6: Final answer
    x = 760.87

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1.5x scale

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.