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Finding the Fourth Proportional to 728.28, 1,005.74 and 528.76

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Solution

The fourth proportional to 728.28, 1,005.74 and 528.76 is: 730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.28 : 1,005.74 = 528.76 : x
  2. Step 2: Convert to fraction form
    728.28/1,005.74 = 528.76/x
  3. Step 3: Cross multiply
    728.28x = 1,005.74 × 528.76
  4. Step 4: Simplify right side
    728.28x = 531,795.08
  5. Step 5: Solve for x
    x = 531,795.08/728.28
  6. Step 6: Final answer
    x = 730.21

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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.