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Finding the Fourth Proportional to 1,166.60, 1,609.96 and 642.64

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Solution

The fourth proportional to 1,166.60, 1,609.96 and 642.64 is: 886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.60 : 1,609.96 = 642.64 : x
  2. Step 2: Convert to fraction form
    1,166.60/1,609.96 = 642.64/x
  3. Step 3: Cross multiply
    1,166.60x = 1,609.96 × 642.64
  4. Step 4: Simplify right side
    1,166.60x = 1,034,624.69
  5. Step 5: Solve for x
    x = 1,034,624.69/1,166.60
  6. Step 6: Final answer
    x = 886.87

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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.