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Finding the Fourth Proportional to 1,167.29, 1,608.75 and 946.77

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Solution

The fourth proportional to 1,167.29, 1,608.75 and 946.77 is: 1,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.29 : 1,608.75 = 946.77 : x
  2. Step 2: Convert to fraction form
    1,167.29/1,608.75 = 946.77/x
  3. Step 3: Cross multiply
    1,167.29x = 1,608.75 × 946.77
  4. Step 4: Simplify right side
    1,167.29x = 1,523,116.24
  5. Step 5: Solve for x
    x = 1,523,116.24/1,167.29
  6. Step 6: Final answer
    x = 1,304.83

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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.