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Finding the Fourth Proportional to 971.25, 1,340.31 and 529.14

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Solution

The fourth proportional to 971.25, 1,340.31 and 529.14 is: 730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.25 : 1,340.31 = 529.14 : x
  2. Step 2: Convert to fraction form
    971.25/1,340.31 = 529.14/x
  3. Step 3: Cross multiply
    971.25x = 1,340.31 × 529.14
  4. Step 4: Simplify right side
    971.25x = 709,211.63
  5. Step 5: Solve for x
    x = 709,211.63/971.25
  6. Step 6: Final answer
    x = 730.21

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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.