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Finding the Fourth Proportional to 748.98, 1,122.28 and 632.88

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Solution

The fourth proportional to 748.98, 1,122.28 and 632.88 is: 948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,122.28 = 632.88 : x
  2. Step 2: Convert to fraction form
    748.98/1,122.28 = 632.88/x
  3. Step 3: Cross multiply
    748.98x = 1,122.28 × 632.88
  4. Step 4: Simplify right side
    748.98x = 710,268.57
  5. Step 5: Solve for x
    x = 710,268.57/748.98
  6. Step 6: Final answer
    x = 948.31

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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.