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Finding the Fourth Proportional to 796.83, 1,098.87 and 527.18

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Solution

The fourth proportional to 796.83, 1,098.87 and 527.18 is: 727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.83 : 1,098.87 = 527.18 : x
  2. Step 2: Convert to fraction form
    796.83/1,098.87 = 527.18/x
  3. Step 3: Cross multiply
    796.83x = 1,098.87 × 527.18
  4. Step 4: Simplify right side
    796.83x = 579,296.79
  5. Step 5: Solve for x
    x = 579,296.79/796.83
  6. Step 6: Final answer
    x = 727.00

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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.