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Finding the Fourth Proportional to 796.07, 1,098.25 and 574.53

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Solution

The fourth proportional to 796.07, 1,098.25 and 574.53 is: 792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.07 : 1,098.25 = 574.53 : x
  2. Step 2: Convert to fraction form
    796.07/1,098.25 = 574.53/x
  3. Step 3: Cross multiply
    796.07x = 1,098.25 × 574.53
  4. Step 4: Simplify right side
    796.07x = 630,977.57
  5. Step 5: Solve for x
    x = 630,977.57/796.07
  6. Step 6: Final answer
    x = 792.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.