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Finding the Fourth Proportional to 1,160.89, 1,741.62 and 576.17

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Solution

The fourth proportional to 1,160.89, 1,741.62 and 576.17 is: 864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.89 : 1,741.62 = 576.17 : x
  2. Step 2: Convert to fraction form
    1,160.89/1,741.62 = 576.17/x
  3. Step 3: Cross multiply
    1,160.89x = 1,741.62 × 576.17
  4. Step 4: Simplify right side
    1,160.89x = 1,003,464.28
  5. Step 5: Solve for x
    x = 1,003,464.28/1,160.89
  6. Step 6: Final answer
    x = 864.39

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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.