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Finding the Fourth Proportional to 796.68, 1,099.10 and 497.75

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Solution

The fourth proportional to 796.68, 1,099.10 and 497.75 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,099.10 = 497.75 : x
  2. Step 2: Convert to fraction form
    796.68/1,099.10 = 497.75/x
  3. Step 3: Cross multiply
    796.68x = 1,099.10 × 497.75
  4. Step 4: Simplify right side
    796.68x = 547,077.03
  5. Step 5: Solve for x
    x = 547,077.03/796.68
  6. Step 6: Final answer
    x = 686.70

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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.