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Finding the Fourth Proportional to 675.75, 1,013.63 and 291.27

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Solution

The fourth proportional to 675.75, 1,013.63 and 291.27 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,013.63 = 291.27 : x
  2. Step 2: Convert to fraction form
    675.75/1,013.63 = 291.27/x
  3. Step 3: Cross multiply
    675.75x = 1,013.63 × 291.27
  4. Step 4: Simplify right side
    675.75x = 295,238.55
  5. Step 5: Solve for x
    x = 295,238.55/675.75
  6. Step 6: Final answer
    x = 436.91

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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.