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Finding the Fourth Proportional to 1,317.96, 1,976.85 and 547.92

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Solution

The fourth proportional to 1,317.96, 1,976.85 and 547.92 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,976.85 = 547.92 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,976.85 = 547.92/x
  3. Step 3: Cross multiply
    1,317.96x = 1,976.85 × 547.92
  4. Step 4: Simplify right side
    1,317.96x = 1,083,155.65
  5. Step 5: Solve for x
    x = 1,083,155.65/1,317.96
  6. Step 6: Final answer
    x = 821.84

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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.