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Finding the Fourth Proportional to 1,031.18, 1,546.44 and 337.71

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Solution

The fourth proportional to 1,031.18, 1,546.44 and 337.71 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.18 : 1,546.44 = 337.71 : x
  2. Step 2: Convert to fraction form
    1,031.18/1,546.44 = 337.71/x
  3. Step 3: Cross multiply
    1,031.18x = 1,546.44 × 337.71
  4. Step 4: Simplify right side
    1,031.18x = 522,243.81
  5. Step 5: Solve for x
    x = 522,243.81/1,031.18
  6. Step 6: Final answer
    x = 506.45

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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.