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Finding the Fourth Proportional to 753.28, 1,133.88 and 641.92

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Solution

The fourth proportional to 753.28, 1,133.88 and 641.92 is: 966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.28 : 1,133.88 = 641.92 : x
  2. Step 2: Convert to fraction form
    753.28/1,133.88 = 641.92/x
  3. Step 3: Cross multiply
    753.28x = 1,133.88 × 641.92
  4. Step 4: Simplify right side
    753.28x = 727,860.25
  5. Step 5: Solve for x
    x = 727,860.25/753.28
  6. Step 6: Final answer
    x = 966.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.