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Finding the Fourth Proportional to 675.60, 1,013.19 and 264.66

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Solution

The fourth proportional to 675.60, 1,013.19 and 264.66 is: 396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.60 : 1,013.19 = 264.66 : x
  2. Step 2: Convert to fraction form
    675.60/1,013.19 = 264.66/x
  3. Step 3: Cross multiply
    675.60x = 1,013.19 × 264.66
  4. Step 4: Simplify right side
    675.60x = 268,150.87
  5. Step 5: Solve for x
    x = 268,150.87/675.60
  6. Step 6: Final answer
    x = 396.91

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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.