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Finding the Fourth Proportional to 731.74, 1,097.61 and 293.19

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Solution

The fourth proportional to 731.74, 1,097.61 and 293.19 is: 439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.74 : 1,097.61 = 293.19 : x
  2. Step 2: Convert to fraction form
    731.74/1,097.61 = 293.19/x
  3. Step 3: Cross multiply
    731.74x = 1,097.61 × 293.19
  4. Step 4: Simplify right side
    731.74x = 321,808.28
  5. Step 5: Solve for x
    x = 321,808.28/731.74
  6. Step 6: Final answer
    x = 439.79

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.