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Finding the Fourth Proportional to 1,166.64, 1,609.96 and 642.67

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Solution

The fourth proportional to 1,166.64, 1,609.96 and 642.67 is: 886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.64 : 1,609.96 = 642.67 : x
  2. Step 2: Convert to fraction form
    1,166.64/1,609.96 = 642.67/x
  3. Step 3: Cross multiply
    1,166.64x = 1,609.96 × 642.67
  4. Step 4: Simplify right side
    1,166.64x = 1,034,672.99
  5. Step 5: Solve for x
    x = 1,034,672.99/1,166.64
  6. Step 6: Final answer
    x = 886.88

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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.