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Finding the Fourth Proportional to 1,031.42, 1,546.98 and 338.12

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Solution

The fourth proportional to 1,031.42, 1,546.98 and 338.12 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.42 : 1,546.98 = 338.12 : x
  2. Step 2: Convert to fraction form
    1,031.42/1,546.98 = 338.12/x
  3. Step 3: Cross multiply
    1,031.42x = 1,546.98 × 338.12
  4. Step 4: Simplify right side
    1,031.42x = 523,057.14
  5. Step 5: Solve for x
    x = 523,057.14/1,031.42
  6. Step 6: Final answer
    x = 507.13

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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.