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Finding the Fourth Proportional to 1,278.41, 1,914.91 and 585.65

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Solution

The fourth proportional to 1,278.41, 1,914.91 and 585.65 is: 877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.41 : 1,914.91 = 585.65 : x
  2. Step 2: Convert to fraction form
    1,278.41/1,914.91 = 585.65/x
  3. Step 3: Cross multiply
    1,278.41x = 1,914.91 × 585.65
  4. Step 4: Simplify right side
    1,278.41x = 1,121,470.36
  5. Step 5: Solve for x
    x = 1,121,470.36/1,278.41
  6. Step 6: Final answer
    x = 877.24

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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.