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Finding the Fourth Proportional to 1,246.42, 1,869.29 and 515.82

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Solution

The fourth proportional to 1,246.42, 1,869.29 and 515.82 is: 773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.42 : 1,869.29 = 515.82 : x
  2. Step 2: Convert to fraction form
    1,246.42/1,869.29 = 515.82/x
  3. Step 3: Cross multiply
    1,246.42x = 1,869.29 × 515.82
  4. Step 4: Simplify right side
    1,246.42x = 964,217.17
  5. Step 5: Solve for x
    x = 964,217.17/1,246.42
  6. Step 6: Final answer
    x = 773.59

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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.