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Finding the Fourth Proportional to 1,078.19, 1,617.38 and 337.76

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Solution

The fourth proportional to 1,078.19, 1,617.38 and 337.76 is: 506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.19 : 1,617.38 = 337.76 : x
  2. Step 2: Convert to fraction form
    1,078.19/1,617.38 = 337.76/x
  3. Step 3: Cross multiply
    1,078.19x = 1,617.38 × 337.76
  4. Step 4: Simplify right side
    1,078.19x = 546,276.49
  5. Step 5: Solve for x
    x = 546,276.49/1,078.19
  6. Step 6: Final answer
    x = 506.66

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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.