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Finding the Fourth Proportional to 971.35, 1,340.49 and 529.27

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Solution

The fourth proportional to 971.35, 1,340.49 and 529.27 is: 730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.35 : 1,340.49 = 529.27 : x
  2. Step 2: Convert to fraction form
    971.35/1,340.49 = 529.27/x
  3. Step 3: Cross multiply
    971.35x = 1,340.49 × 529.27
  4. Step 4: Simplify right side
    971.35x = 709,481.14
  5. Step 5: Solve for x
    x = 709,481.14/971.35
  6. Step 6: Final answer
    x = 730.41

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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.