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Finding the Fourth Proportional to 971.09, 1,456.48 and 560.22

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Solution

The fourth proportional to 971.09, 1,456.48 and 560.22 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.09 : 1,456.48 = 560.22 : x
  2. Step 2: Convert to fraction form
    971.09/1,456.48 = 560.22/x
  3. Step 3: Cross multiply
    971.09x = 1,456.48 × 560.22
  4. Step 4: Simplify right side
    971.09x = 815,944.46
  5. Step 5: Solve for x
    x = 815,944.46/971.09
  6. Step 6: Final answer
    x = 840.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.