Home / 1,161.10-1,742.01-544.78

Finding the Fourth Proportional to 1,161.10, 1,742.01 and 544.78

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Solution

The fourth proportional to 1,161.10, 1,742.01 and 544.78 is: 817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.10 : 1,742.01 = 544.78 : x
  2. Step 2: Convert to fraction form
    1,161.10/1,742.01 = 544.78/x
  3. Step 3: Cross multiply
    1,161.10x = 1,742.01 × 544.78
  4. Step 4: Simplify right side
    1,161.10x = 949,012.21
  5. Step 5: Solve for x
    x = 949,012.21/1,161.10
  6. Step 6: Final answer
    x = 817.34

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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.