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Finding the Fourth Proportional to 686.75, 1,028.64 and 296.24

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Solution

The fourth proportional to 686.75, 1,028.64 and 296.24 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 1,028.64 = 296.24 : x
  2. Step 2: Convert to fraction form
    686.75/1,028.64 = 296.24/x
  3. Step 3: Cross multiply
    686.75x = 1,028.64 × 296.24
  4. Step 4: Simplify right side
    686.75x = 304,719.17
  5. Step 5: Solve for x
    x = 304,719.17/686.75
  6. Step 6: Final answer
    x = 443.72

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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.