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Finding the Fourth Proportional to 949.87, 1,425.66 and 686.57

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Solution

The fourth proportional to 949.87, 1,425.66 and 686.57 is: 1,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.87 : 1,425.66 = 686.57 : x
  2. Step 2: Convert to fraction form
    949.87/1,425.66 = 686.57/x
  3. Step 3: Cross multiply
    949.87x = 1,425.66 × 686.57
  4. Step 4: Simplify right side
    949.87x = 978,815.39
  5. Step 5: Solve for x
    x = 978,815.39/949.87
  6. Step 6: Final answer
    x = 1,030.47

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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.