Home / 1,163.80-1,746.06-514.44

Finding the Fourth Proportional to 1,163.80, 1,746.06 and 514.44

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Solution

The fourth proportional to 1,163.80, 1,746.06 and 514.44 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.80 : 1,746.06 = 514.44 : x
  2. Step 2: Convert to fraction form
    1,163.80/1,746.06 = 514.44/x
  3. Step 3: Cross multiply
    1,163.80x = 1,746.06 × 514.44
  4. Step 4: Simplify right side
    1,163.80x = 898,243.11
  5. Step 5: Solve for x
    x = 898,243.11/1,163.80
  6. Step 6: Final answer
    x = 771.82

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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.