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Finding the Fourth Proportional to 728.76, 1,005.84 and 495.48

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Solution

The fourth proportional to 728.76, 1,005.84 and 495.48 is: 683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,005.84 = 495.48 : x
  2. Step 2: Convert to fraction form
    728.76/1,005.84 = 495.48/x
  3. Step 3: Cross multiply
    728.76x = 1,005.84 × 495.48
  4. Step 4: Simplify right side
    728.76x = 498,373.60
  5. Step 5: Solve for x
    x = 498,373.60/728.76
  6. Step 6: Final answer
    x = 683.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.