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Finding the Fourth Proportional to 1,246.15, 1,869.23 and 514.92

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Solution

The fourth proportional to 1,246.15, 1,869.23 and 514.92 is: 772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.15 : 1,869.23 = 514.92 : x
  2. Step 2: Convert to fraction form
    1,246.15/1,869.23 = 514.92/x
  3. Step 3: Cross multiply
    1,246.15x = 1,869.23 × 514.92
  4. Step 4: Simplify right side
    1,246.15x = 962,509.31
  5. Step 5: Solve for x
    x = 962,509.31/1,246.15
  6. Step 6: Final answer
    x = 772.39

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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.