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Finding the Fourth Proportional to 905.93, 1,250.20 and 532.92

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Solution

The fourth proportional to 905.93, 1,250.20 and 532.92 is: 735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,250.20 = 532.92 : x
  2. Step 2: Convert to fraction form
    905.93/1,250.20 = 532.92/x
  3. Step 3: Cross multiply
    905.93x = 1,250.20 × 532.92
  4. Step 4: Simplify right side
    905.93x = 666,256.58
  5. Step 5: Solve for x
    x = 666,256.58/905.93
  6. Step 6: Final answer
    x = 735.44

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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.