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Finding the Fourth Proportional to 1,166.71, 1,747.19 and 754.58

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Solution

The fourth proportional to 1,166.71, 1,747.19 and 754.58 is: 1,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.71 : 1,747.19 = 754.58 : x
  2. Step 2: Convert to fraction form
    1,166.71/1,747.19 = 754.58/x
  3. Step 3: Cross multiply
    1,166.71x = 1,747.19 × 754.58
  4. Step 4: Simplify right side
    1,166.71x = 1,318,390.86
  5. Step 5: Solve for x
    x = 1,318,390.86/1,166.71
  6. Step 6: Final answer
    x = 1,130.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.