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Finding the Fourth Proportional to 705.97, 974.01 and 411.13

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Solution

The fourth proportional to 705.97, 974.01 and 411.13 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 974.01 = 411.13 : x
  2. Step 2: Convert to fraction form
    705.97/974.01 = 411.13/x
  3. Step 3: Cross multiply
    705.97x = 974.01 × 411.13
  4. Step 4: Simplify right side
    705.97x = 400,444.73
  5. Step 5: Solve for x
    x = 400,444.73/705.97
  6. Step 6: Final answer
    x = 567.23

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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.