Home / 1,160.32-1,741.17-467.14

Finding the Fourth Proportional to 1,160.32, 1,741.17 and 467.14

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Solution

The fourth proportional to 1,160.32, 1,741.17 and 467.14 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.32 : 1,741.17 = 467.14 : x
  2. Step 2: Convert to fraction form
    1,160.32/1,741.17 = 467.14/x
  3. Step 3: Cross multiply
    1,160.32x = 1,741.17 × 467.14
  4. Step 4: Simplify right side
    1,160.32x = 813,370.15
  5. Step 5: Solve for x
    x = 813,370.15/1,160.32
  6. Step 6: Final answer
    x = 700.99

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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.