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Finding the Fourth Proportional to 1,031.04, 1,546.42 and 337.74

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Solution

The fourth proportional to 1,031.04, 1,546.42 and 337.74 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.04 : 1,546.42 = 337.74 : x
  2. Step 2: Convert to fraction form
    1,031.04/1,546.42 = 337.74/x
  3. Step 3: Cross multiply
    1,031.04x = 1,546.42 × 337.74
  4. Step 4: Simplify right side
    1,031.04x = 522,284.19
  5. Step 5: Solve for x
    x = 522,284.19/1,031.04
  6. Step 6: Final answer
    x = 506.56

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