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Finding the Fourth Proportional to 686.83, 1,030.26 and 253.99

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Solution

The fourth proportional to 686.83, 1,030.26 and 253.99 is: 380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 1,030.26 = 253.99 : x
  2. Step 2: Convert to fraction form
    686.83/1,030.26 = 253.99/x
  3. Step 3: Cross multiply
    686.83x = 1,030.26 × 253.99
  4. Step 4: Simplify right side
    686.83x = 261,675.74
  5. Step 5: Solve for x
    x = 261,675.74/686.83
  6. Step 6: Final answer
    x = 380.99

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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.