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Finding the Fourth Proportional to 1,234.04, 1,846.38 and 686.66

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Solution

The fourth proportional to 1,234.04, 1,846.38 and 686.66 is: 1,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.04 : 1,846.38 = 686.66 : x
  2. Step 2: Convert to fraction form
    1,234.04/1,846.38 = 686.66/x
  3. Step 3: Cross multiply
    1,234.04x = 1,846.38 × 686.66
  4. Step 4: Simplify right side
    1,234.04x = 1,267,835.29
  5. Step 5: Solve for x
    x = 1,267,835.29/1,234.04
  6. Step 6: Final answer
    x = 1,027.39

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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.