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Finding the Fourth Proportional to 729.16, 1,094.28 and 537.28

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Solution

The fourth proportional to 729.16, 1,094.28 and 537.28 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.16 : 1,094.28 = 537.28 : x
  2. Step 2: Convert to fraction form
    729.16/1,094.28 = 537.28/x
  3. Step 3: Cross multiply
    729.16x = 1,094.28 × 537.28
  4. Step 4: Simplify right side
    729.16x = 587,934.76
  5. Step 5: Solve for x
    x = 587,934.76/729.16
  6. Step 6: Final answer
    x = 806.32

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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.