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Finding the Fourth Proportional to 871.47, 1,301.94 and 560.79

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Solution

The fourth proportional to 871.47, 1,301.94 and 560.79 is: 837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.47 : 1,301.94 = 560.79 : x
  2. Step 2: Convert to fraction form
    871.47/1,301.94 = 560.79/x
  3. Step 3: Cross multiply
    871.47x = 1,301.94 × 560.79
  4. Step 4: Simplify right side
    871.47x = 730,114.93
  5. Step 5: Solve for x
    x = 730,114.93/871.47
  6. Step 6: Final answer
    x = 837.80

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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.