Home / 1,159.13-1,738.54-418.66

Finding the Fourth Proportional to 1,159.13, 1,738.54 and 418.66

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Solution

The fourth proportional to 1,159.13, 1,738.54 and 418.66 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.13 : 1,738.54 = 418.66 : x
  2. Step 2: Convert to fraction form
    1,159.13/1,738.54 = 418.66/x
  3. Step 3: Cross multiply
    1,159.13x = 1,738.54 × 418.66
  4. Step 4: Simplify right side
    1,159.13x = 727,851.76
  5. Step 5: Solve for x
    x = 727,851.76/1,159.13
  6. Step 6: Final answer
    x = 627.93

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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.