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Finding the Fourth Proportional to 1,166.42, 1,609.65 and 642.44

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Solution

The fourth proportional to 1,166.42, 1,609.65 and 642.44 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.42 : 1,609.65 = 642.44 : x
  2. Step 2: Convert to fraction form
    1,166.42/1,609.65 = 642.44/x
  3. Step 3: Cross multiply
    1,166.42x = 1,609.65 × 642.44
  4. Step 4: Simplify right side
    1,166.42x = 1,034,107.57
  5. Step 5: Solve for x
    x = 1,034,107.57/1,166.42
  6. Step 6: Final answer
    x = 886.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.