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Finding the Fourth Proportional to 1,160.82, 1,741.91 and 430.90

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Solution

The fourth proportional to 1,160.82, 1,741.91 and 430.90 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,741.91 = 430.90 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,741.91 = 430.90/x
  3. Step 3: Cross multiply
    1,160.82x = 1,741.91 × 430.90
  4. Step 4: Simplify right side
    1,160.82x = 750,589.02
  5. Step 5: Solve for x
    x = 750,589.02/1,160.82
  6. Step 6: Final answer
    x = 646.60

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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.