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Finding the Fourth Proportional to 686.40, 1,028.96 and 253.26

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Solution

The fourth proportional to 686.40, 1,028.96 and 253.26 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.40 : 1,028.96 = 253.26 : x
  2. Step 2: Convert to fraction form
    686.40/1,028.96 = 253.26/x
  3. Step 3: Cross multiply
    686.40x = 1,028.96 × 253.26
  4. Step 4: Simplify right side
    686.40x = 260,594.41
  5. Step 5: Solve for x
    x = 260,594.41/686.40
  6. Step 6: Final answer
    x = 379.65

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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.