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Finding the Fourth Proportional to 796.71, 1,099.19 and 497.76

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Solution

The fourth proportional to 796.71, 1,099.19 and 497.76 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.71 : 1,099.19 = 497.76 : x
  2. Step 2: Convert to fraction form
    796.71/1,099.19 = 497.76/x
  3. Step 3: Cross multiply
    796.71x = 1,099.19 × 497.76
  4. Step 4: Simplify right side
    796.71x = 547,126.07
  5. Step 5: Solve for x
    x = 547,126.07/796.71
  6. Step 6: Final answer
    x = 686.73

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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.