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Finding the Fourth Proportional to 686.80, 1,030.40 and 276.24

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Solution

The fourth proportional to 686.80, 1,030.40 and 276.24 is: 414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 1,030.40 = 276.24 : x
  2. Step 2: Convert to fraction form
    686.80/1,030.40 = 276.24/x
  3. Step 3: Cross multiply
    686.80x = 1,030.40 × 276.24
  4. Step 4: Simplify right side
    686.80x = 284,637.70
  5. Step 5: Solve for x
    x = 284,637.70/686.80
  6. Step 6: Final answer
    x = 414.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.