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Finding the Fourth Proportional to 967.79, 1,449.32 and 675.58

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Solution

The fourth proportional to 967.79, 1,449.32 and 675.58 is: 1,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.79 : 1,449.32 = 675.58 : x
  2. Step 2: Convert to fraction form
    967.79/1,449.32 = 675.58/x
  3. Step 3: Cross multiply
    967.79x = 1,449.32 × 675.58
  4. Step 4: Simplify right side
    967.79x = 979,131.61
  5. Step 5: Solve for x
    x = 979,131.61/967.79
  6. Step 6: Final answer
    x = 1,011.72

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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.