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Finding the Fourth Proportional to 796.82, 1,098.47 and 560.05

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Solution

The fourth proportional to 796.82, 1,098.47 and 560.05 is: 772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,098.47 = 560.05 : x
  2. Step 2: Convert to fraction form
    796.82/1,098.47 = 560.05/x
  3. Step 3: Cross multiply
    796.82x = 1,098.47 × 560.05
  4. Step 4: Simplify right side
    796.82x = 615,196.78
  5. Step 5: Solve for x
    x = 615,196.78/796.82
  6. Step 6: Final answer
    x = 772.07

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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.