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Finding the Fourth Proportional to 1,166.72, 1,754.96 and 1,156.96

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Solution

The fourth proportional to 1,166.72, 1,754.96 and 1,156.96 is: 1,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.72 : 1,754.96 = 1,156.96 : x
  2. Step 2: Convert to fraction form
    1,166.72/1,754.96 = 1,156.96/x
  3. Step 3: Cross multiply
    1,166.72x = 1,754.96 × 1,156.96
  4. Step 4: Simplify right side
    1,166.72x = 2,030,418.52
  5. Step 5: Solve for x
    x = 2,030,418.52/1,166.72
  6. Step 6: Final answer
    x = 1,740.28

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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.