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Finding the Fourth Proportional to 796.90, 1,098.68 and 575.91

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Solution

The fourth proportional to 796.90, 1,098.68 and 575.91 is: 794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.90 : 1,098.68 = 575.91 : x
  2. Step 2: Convert to fraction form
    796.90/1,098.68 = 575.91/x
  3. Step 3: Cross multiply
    796.90x = 1,098.68 × 575.91
  4. Step 4: Simplify right side
    796.90x = 632,735.31
  5. Step 5: Solve for x
    x = 632,735.31/796.90
  6. Step 6: Final answer
    x = 794.00

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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.