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Finding the Fourth Proportional to 731.35, 1,097.36 and 341.56

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Solution

The fourth proportional to 731.35, 1,097.36 and 341.56 is: 512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.35 : 1,097.36 = 341.56 : x
  2. Step 2: Convert to fraction form
    731.35/1,097.36 = 341.56/x
  3. Step 3: Cross multiply
    731.35x = 1,097.36 × 341.56
  4. Step 4: Simplify right side
    731.35x = 374,807.09
  5. Step 5: Solve for x
    x = 374,807.09/731.35
  6. Step 6: Final answer
    x = 512.49

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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.