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Finding the Fourth Proportional to 1,166.44, 1,609.68 and 642.46

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Solution

The fourth proportional to 1,166.44, 1,609.68 and 642.46 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.44 : 1,609.68 = 642.46 : x
  2. Step 2: Convert to fraction form
    1,166.44/1,609.68 = 642.46/x
  3. Step 3: Cross multiply
    1,166.44x = 1,609.68 × 642.46
  4. Step 4: Simplify right side
    1,166.44x = 1,034,155.01
  5. Step 5: Solve for x
    x = 1,034,155.01/1,166.44
  6. Step 6: Final answer
    x = 886.59

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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.