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Finding the Fourth Proportional to 731.52, 1,097.19 and 422.37

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Solution

The fourth proportional to 731.52, 1,097.19 and 422.37 is: 633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.52 : 1,097.19 = 422.37 : x
  2. Step 2: Convert to fraction form
    731.52/1,097.19 = 422.37/x
  3. Step 3: Cross multiply
    731.52x = 1,097.19 × 422.37
  4. Step 4: Simplify right side
    731.52x = 463,420.14
  5. Step 5: Solve for x
    x = 463,420.14/731.52
  6. Step 6: Final answer
    x = 633.50

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Half scale
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Double scale
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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.