Home / 1,160.39-1,741.16-430.04

Finding the Fourth Proportional to 1,160.39, 1,741.16 and 430.04

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Solution

The fourth proportional to 1,160.39, 1,741.16 and 430.04 is: 645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.39 : 1,741.16 = 430.04 : x
  2. Step 2: Convert to fraction form
    1,160.39/1,741.16 = 430.04/x
  3. Step 3: Cross multiply
    1,160.39x = 1,741.16 × 430.04
  4. Step 4: Simplify right side
    1,160.39x = 748,760.82
  5. Step 5: Solve for x
    x = 748,760.82/1,160.39
  6. Step 6: Final answer
    x = 645.27

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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.