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Finding the Fourth Proportional to 1,160.86, 1,741.67 and 430.49

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Solution

The fourth proportional to 1,160.86, 1,741.67 and 430.49 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.86 : 1,741.67 = 430.49 : x
  2. Step 2: Convert to fraction form
    1,160.86/1,741.67 = 430.49/x
  3. Step 3: Cross multiply
    1,160.86x = 1,741.67 × 430.49
  4. Step 4: Simplify right side
    1,160.86x = 749,771.52
  5. Step 5: Solve for x
    x = 749,771.52/1,160.86
  6. Step 6: Final answer
    x = 645.88

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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.