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Finding the Fourth Proportional to 1,078.16, 1,617.27 and 337.85

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Solution

The fourth proportional to 1,078.16, 1,617.27 and 337.85 is: 506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.16 : 1,617.27 = 337.85 : x
  2. Step 2: Convert to fraction form
    1,078.16/1,617.27 = 337.85/x
  3. Step 3: Cross multiply
    1,078.16x = 1,617.27 × 337.85
  4. Step 4: Simplify right side
    1,078.16x = 546,386.58
  5. Step 5: Solve for x
    x = 546,386.58/1,078.16
  6. Step 6: Final answer
    x = 506.78

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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.