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Finding the Fourth Proportional to 675.46, 1,012.59 and 264.89

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Solution

The fourth proportional to 675.46, 1,012.59 and 264.89 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 1,012.59 = 264.89 : x
  2. Step 2: Convert to fraction form
    675.46/1,012.59 = 264.89/x
  3. Step 3: Cross multiply
    675.46x = 1,012.59 × 264.89
  4. Step 4: Simplify right side
    675.46x = 268,221.11
  5. Step 5: Solve for x
    x = 268,221.11/675.46
  6. Step 6: Final answer
    x = 397.10

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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.