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Finding the Fourth Proportional to 949.52, 1,424.28 and 689.84

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Solution

The fourth proportional to 949.52, 1,424.28 and 689.84 is: 1,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,424.28 = 689.84 : x
  2. Step 2: Convert to fraction form
    949.52/1,424.28 = 689.84/x
  3. Step 3: Cross multiply
    949.52x = 1,424.28 × 689.84
  4. Step 4: Simplify right side
    949.52x = 982,525.32
  5. Step 5: Solve for x
    x = 982,525.32/949.52
  6. Step 6: Final answer
    x = 1,034.76

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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.