Home / 1,149.31-1,723.74-564.06

Finding the Fourth Proportional to 1,149.31, 1,723.74 and 564.06

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Solution

The fourth proportional to 1,149.31, 1,723.74 and 564.06 is: 845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.31 : 1,723.74 = 564.06 : x
  2. Step 2: Convert to fraction form
    1,149.31/1,723.74 = 564.06/x
  3. Step 3: Cross multiply
    1,149.31x = 1,723.74 × 564.06
  4. Step 4: Simplify right side
    1,149.31x = 972,292.78
  5. Step 5: Solve for x
    x = 972,292.78/1,149.31
  6. Step 6: Final answer
    x = 845.98

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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.