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Finding the Fourth Proportional to 811.97, 1,120.52 and 462.66

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Solution

The fourth proportional to 811.97, 1,120.52 and 462.66 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,120.52 = 462.66 : x
  2. Step 2: Convert to fraction form
    811.97/1,120.52 = 462.66/x
  3. Step 3: Cross multiply
    811.97x = 1,120.52 × 462.66
  4. Step 4: Simplify right side
    811.97x = 518,419.78
  5. Step 5: Solve for x
    x = 518,419.78/811.97
  6. Step 6: Final answer
    x = 638.47

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Double scale
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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.