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Finding the Fourth Proportional to 1,234.96, 1,702.92 and 1,049.20

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Solution

The fourth proportional to 1,234.96, 1,702.92 and 1,049.20 is: 1,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.96 : 1,702.92 = 1,049.20 : x
  2. Step 2: Convert to fraction form
    1,234.96/1,702.92 = 1,049.20/x
  3. Step 3: Cross multiply
    1,234.96x = 1,702.92 × 1,049.20
  4. Step 4: Simplify right side
    1,234.96x = 1,786,703.66
  5. Step 5: Solve for x
    x = 1,786,703.66/1,234.96
  6. Step 6: Final answer
    x = 1,446.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.