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Finding the Fourth Proportional to 732.06, 1,097.06 and 549

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Solution

The fourth proportional to 732.06, 1,097.06 and 549 is: 822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,097.06 = 549 : x
  2. Step 2: Convert to fraction form
    732.06/1,097.06 = 549/x
  3. Step 3: Cross multiply
    732.06x = 1,097.06 × 549
  4. Step 4: Simplify right side
    732.06x = 602,285.94
  5. Step 5: Solve for x
    x = 602,285.94/732.06
  6. Step 6: Final answer
    x = 822.73

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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.