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Finding the Fourth Proportional to 971.97, 1,341.33 and 529.88

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Solution

The fourth proportional to 971.97, 1,341.33 and 529.88 is: 731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.97 : 1,341.33 = 529.88 : x
  2. Step 2: Convert to fraction form
    971.97/1,341.33 = 529.88/x
  3. Step 3: Cross multiply
    971.97x = 1,341.33 × 529.88
  4. Step 4: Simplify right side
    971.97x = 710,743.94
  5. Step 5: Solve for x
    x = 710,743.94/971.97
  6. Step 6: Final answer
    x = 731.24

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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.