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Finding the Fourth Proportional to 676.30, 1,013.64 and 387.13

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Solution

The fourth proportional to 676.30, 1,013.64 and 387.13 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 1,013.64 = 387.13 : x
  2. Step 2: Convert to fraction form
    676.30/1,013.64 = 387.13/x
  3. Step 3: Cross multiply
    676.30x = 1,013.64 × 387.13
  4. Step 4: Simplify right side
    676.30x = 392,410.45
  5. Step 5: Solve for x
    x = 392,410.45/676.30
  6. Step 6: Final answer
    x = 580.23

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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.