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Finding the Fourth Proportional to 675.88, 1,013.61 and 213.54

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Solution

The fourth proportional to 675.88, 1,013.61 and 213.54 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.88 : 1,013.61 = 213.54 : x
  2. Step 2: Convert to fraction form
    675.88/1,013.61 = 213.54/x
  3. Step 3: Cross multiply
    675.88x = 1,013.61 × 213.54
  4. Step 4: Simplify right side
    675.88x = 216,443.28
  5. Step 5: Solve for x
    x = 216,443.28/675.88
  6. Step 6: Final answer
    x = 320.24

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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.