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Finding the Fourth Proportional to 1,344.78, 2,017.49 and 467.15

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Solution

The fourth proportional to 1,344.78, 2,017.49 and 467.15 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.78 : 2,017.49 = 467.15 : x
  2. Step 2: Convert to fraction form
    1,344.78/2,017.49 = 467.15/x
  3. Step 3: Cross multiply
    1,344.78x = 2,017.49 × 467.15
  4. Step 4: Simplify right side
    1,344.78x = 942,475.09
  5. Step 5: Solve for x
    x = 942,475.09/1,344.78
  6. Step 6: Final answer
    x = 700.84

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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.