Home / 1,159.80-1,738.26-574.17

Finding the Fourth Proportional to 1,159.80, 1,738.26 and 574.17

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Solution

The fourth proportional to 1,159.80, 1,738.26 and 574.17 is: 860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.80 : 1,738.26 = 574.17 : x
  2. Step 2: Convert to fraction form
    1,159.80/1,738.26 = 574.17/x
  3. Step 3: Cross multiply
    1,159.80x = 1,738.26 × 574.17
  4. Step 4: Simplify right side
    1,159.80x = 998,056.74
  5. Step 5: Solve for x
    x = 998,056.74/1,159.80
  6. Step 6: Final answer
    x = 860.54

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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.