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Finding the Fourth Proportional to 1,166.12, 1,609.12 and 642.12

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Solution

The fourth proportional to 1,166.12, 1,609.12 and 642.12 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.12 : 1,609.12 = 642.12 : x
  2. Step 2: Convert to fraction form
    1,166.12/1,609.12 = 642.12/x
  3. Step 3: Cross multiply
    1,166.12x = 1,609.12 × 642.12
  4. Step 4: Simplify right side
    1,166.12x = 1,033,248.13
  5. Step 5: Solve for x
    x = 1,033,248.13/1,166.12
  6. Step 6: Final answer
    x = 886.06

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