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Finding the Fourth Proportional to 1,046.56, 1,569.92 and 276.96

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Solution

The fourth proportional to 1,046.56, 1,569.92 and 276.96 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.56 : 1,569.92 = 276.96 : x
  2. Step 2: Convert to fraction form
    1,046.56/1,569.92 = 276.96/x
  3. Step 3: Cross multiply
    1,046.56x = 1,569.92 × 276.96
  4. Step 4: Simplify right side
    1,046.56x = 434,805.04
  5. Step 5: Solve for x
    x = 434,805.04/1,046.56
  6. Step 6: Final answer
    x = 415.46

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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.