Home / 1,160.85-1,741.29-295.14

Finding the Fourth Proportional to 1,160.85, 1,741.29 and 295.14

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Solution

The fourth proportional to 1,160.85, 1,741.29 and 295.14 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.85 : 1,741.29 = 295.14 : x
  2. Step 2: Convert to fraction form
    1,160.85/1,741.29 = 295.14/x
  3. Step 3: Cross multiply
    1,160.85x = 1,741.29 × 295.14
  4. Step 4: Simplify right side
    1,160.85x = 513,924.33
  5. Step 5: Solve for x
    x = 513,924.33/1,160.85
  6. Step 6: Final answer
    x = 442.71

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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.