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Finding the Fourth Proportional to 1,166.63, 1,609.97 and 642.66

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Solution

The fourth proportional to 1,166.63, 1,609.97 and 642.66 is: 886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.63 : 1,609.97 = 642.66 : x
  2. Step 2: Convert to fraction form
    1,166.63/1,609.97 = 642.66/x
  3. Step 3: Cross multiply
    1,166.63x = 1,609.97 × 642.66
  4. Step 4: Simplify right side
    1,166.63x = 1,034,663.32
  5. Step 5: Solve for x
    x = 1,034,663.32/1,166.63
  6. Step 6: Final answer
    x = 886.89

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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.