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Finding the Fourth Proportional to 971.49, 1,454.91 and 532.09

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Solution

The fourth proportional to 971.49, 1,454.91 and 532.09 is: 796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.49 : 1,454.91 = 532.09 : x
  2. Step 2: Convert to fraction form
    971.49/1,454.91 = 532.09/x
  3. Step 3: Cross multiply
    971.49x = 1,454.91 × 532.09
  4. Step 4: Simplify right side
    971.49x = 774,137.69
  5. Step 5: Solve for x
    x = 774,137.69/971.49
  6. Step 6: Final answer
    x = 796.85

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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.