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Finding the Fourth Proportional to 1,166.64, 1,609.88 and 642.56

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Solution

The fourth proportional to 1,166.64, 1,609.88 and 642.56 is: 886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.64 : 1,609.88 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,166.64/1,609.88 = 642.56/x
  3. Step 3: Cross multiply
    1,166.64x = 1,609.88 × 642.56
  4. Step 4: Simplify right side
    1,166.64x = 1,034,444.49
  5. Step 5: Solve for x
    x = 1,034,444.49/1,166.64
  6. Step 6: Final answer
    x = 886.69

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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.