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Finding the Fourth Proportional to 728.64, 1,091.61 and 362.52

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Solution

The fourth proportional to 728.64, 1,091.61 and 362.52 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,091.61 = 362.52 : x
  2. Step 2: Convert to fraction form
    728.64/1,091.61 = 362.52/x
  3. Step 3: Cross multiply
    728.64x = 1,091.61 × 362.52
  4. Step 4: Simplify right side
    728.64x = 395,730.46
  5. Step 5: Solve for x
    x = 395,730.46/728.64
  6. Step 6: Final answer
    x = 543.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.