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Finding the Fourth Proportional to 728.44, 1,005.64 and 492.76

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Solution

The fourth proportional to 728.44, 1,005.64 and 492.76 is: 680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,005.64 = 492.76 : x
  2. Step 2: Convert to fraction form
    728.44/1,005.64 = 492.76/x
  3. Step 3: Cross multiply
    728.44x = 1,005.64 × 492.76
  4. Step 4: Simplify right side
    728.44x = 495,539.17
  5. Step 5: Solve for x
    x = 495,539.17/728.44
  6. Step 6: Final answer
    x = 680.27

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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.