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Finding the Fourth Proportional to 675.47, 1,012.29 and 492

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Solution

The fourth proportional to 675.47, 1,012.29 and 492 is: 737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 1,012.29 = 492 : x
  2. Step 2: Convert to fraction form
    675.47/1,012.29 = 492/x
  3. Step 3: Cross multiply
    675.47x = 1,012.29 × 492
  4. Step 4: Simplify right side
    675.47x = 498,046.68
  5. Step 5: Solve for x
    x = 498,046.68/675.47
  6. Step 6: Final answer
    x = 737.33

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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.