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Finding the Fourth Proportional to 1,278.04, 1,917.41 and 456.39

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Solution

The fourth proportional to 1,278.04, 1,917.41 and 456.39 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.04 : 1,917.41 = 456.39 : x
  2. Step 2: Convert to fraction form
    1,278.04/1,917.41 = 456.39/x
  3. Step 3: Cross multiply
    1,278.04x = 1,917.41 × 456.39
  4. Step 4: Simplify right side
    1,278.04x = 875,084.47
  5. Step 5: Solve for x
    x = 875,084.47/1,278.04
  6. Step 6: Final answer
    x = 684.71

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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.