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Finding the Fourth Proportional to 811.82, 1,120.74 and 497.54

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Solution

The fourth proportional to 811.82, 1,120.74 and 497.54 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.82 : 1,120.74 = 497.54 : x
  2. Step 2: Convert to fraction form
    811.82/1,120.74 = 497.54/x
  3. Step 3: Cross multiply
    811.82x = 1,120.74 × 497.54
  4. Step 4: Simplify right side
    811.82x = 557,613.92
  5. Step 5: Solve for x
    x = 557,613.92/811.82
  6. Step 6: Final answer
    x = 686.87

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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.