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Finding the Fourth Proportional to 796.05, 1,098.83 and 497.16

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Solution

The fourth proportional to 796.05, 1,098.83 and 497.16 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.05 : 1,098.83 = 497.16 : x
  2. Step 2: Convert to fraction form
    796.05/1,098.83 = 497.16/x
  3. Step 3: Cross multiply
    796.05x = 1,098.83 × 497.16
  4. Step 4: Simplify right side
    796.05x = 546,295.57
  5. Step 5: Solve for x
    x = 546,295.57/796.05
  6. Step 6: Final answer
    x = 686.26

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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.