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Finding the Fourth Proportional to 971.38, 1,455.82 and 560.71

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Solution

The fourth proportional to 971.38, 1,455.82 and 560.71 is: 840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.38 : 1,455.82 = 560.71 : x
  2. Step 2: Convert to fraction form
    971.38/1,455.82 = 560.71/x
  3. Step 3: Cross multiply
    971.38x = 1,455.82 × 560.71
  4. Step 4: Simplify right side
    971.38x = 816,292.83
  5. Step 5: Solve for x
    x = 816,292.83/971.38
  6. Step 6: Final answer
    x = 840.34

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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.