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Finding the Fourth Proportional to 1,277.65, 1,917.33 and 547.41

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Solution

The fourth proportional to 1,277.65, 1,917.33 and 547.41 is: 821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.65 : 1,917.33 = 547.41 : x
  2. Step 2: Convert to fraction form
    1,277.65/1,917.33 = 547.41/x
  3. Step 3: Cross multiply
    1,277.65x = 1,917.33 × 547.41
  4. Step 4: Simplify right side
    1,277.65x = 1,049,565.62
  5. Step 5: Solve for x
    x = 1,049,565.62/1,277.65
  6. Step 6: Final answer
    x = 821.48

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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.