Home / 1,344.12-2,016.29-564.36

Finding the Fourth Proportional to 1,344.12, 2,016.29 and 564.36

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Solution

The fourth proportional to 1,344.12, 2,016.29 and 564.36 is: 846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.12 : 2,016.29 = 564.36 : x
  2. Step 2: Convert to fraction form
    1,344.12/2,016.29 = 564.36/x
  3. Step 3: Cross multiply
    1,344.12x = 2,016.29 × 564.36
  4. Step 4: Simplify right side
    1,344.12x = 1,137,907.27
  5. Step 5: Solve for x
    x = 1,137,907.27/1,344.12
  6. Step 6: Final answer
    x = 846.58

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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.