Home / 1,160.42-1,741.08-430.06

Finding the Fourth Proportional to 1,160.42, 1,741.08 and 430.06

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Solution

The fourth proportional to 1,160.42, 1,741.08 and 430.06 is: 645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.42 : 1,741.08 = 430.06 : x
  2. Step 2: Convert to fraction form
    1,160.42/1,741.08 = 430.06/x
  3. Step 3: Cross multiply
    1,160.42x = 1,741.08 × 430.06
  4. Step 4: Simplify right side
    1,160.42x = 748,768.86
  5. Step 5: Solve for x
    x = 748,768.86/1,160.42
  6. Step 6: Final answer
    x = 645.26

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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.