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Finding the Fourth Proportional to 1,166.27, 1,740.31 and 1,062.77

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Solution

The fourth proportional to 1,166.27, 1,740.31 and 1,062.77 is: 1,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.27 : 1,740.31 = 1,062.77 : x
  2. Step 2: Convert to fraction form
    1,166.27/1,740.31 = 1,062.77/x
  3. Step 3: Cross multiply
    1,166.27x = 1,740.31 × 1,062.77
  4. Step 4: Simplify right side
    1,166.27x = 1,849,549.26
  5. Step 5: Solve for x
    x = 1,849,549.26/1,166.27
  6. Step 6: Final answer
    x = 1,585.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.