Home / 1,344.24-2,017.15-564.19

Finding the Fourth Proportional to 1,344.24, 2,017.15 and 564.19

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Solution

The fourth proportional to 1,344.24, 2,017.15 and 564.19 is: 846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.24 : 2,017.15 = 564.19 : x
  2. Step 2: Convert to fraction form
    1,344.24/2,017.15 = 564.19/x
  3. Step 3: Cross multiply
    1,344.24x = 2,017.15 × 564.19
  4. Step 4: Simplify right side
    1,344.24x = 1,138,049.41
  5. Step 5: Solve for x
    x = 1,138,049.41/1,344.24
  6. Step 6: Final answer
    x = 846.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.