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Finding the Fourth Proportional to 1,031.16, 1,546.02 and 381.72

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Solution

The fourth proportional to 1,031.16, 1,546.02 and 381.72 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.16 : 1,546.02 = 381.72 : x
  2. Step 2: Convert to fraction form
    1,031.16/1,546.02 = 381.72/x
  3. Step 3: Cross multiply
    1,031.16x = 1,546.02 × 381.72
  4. Step 4: Simplify right side
    1,031.16x = 590,146.75
  5. Step 5: Solve for x
    x = 590,146.75/1,031.16
  6. Step 6: Final answer
    x = 572.31

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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.