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Finding the Fourth Proportional to 1,146.70, 1,723.20 and 684.52

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Solution

The fourth proportional to 1,146.70, 1,723.20 and 684.52 is: 1,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.70 : 1,723.20 = 684.52 : x
  2. Step 2: Convert to fraction form
    1,146.70/1,723.20 = 684.52/x
  3. Step 3: Cross multiply
    1,146.70x = 1,723.20 × 684.52
  4. Step 4: Simplify right side
    1,146.70x = 1,179,564.86
  5. Step 5: Solve for x
    x = 1,179,564.86/1,146.70
  6. Step 6: Final answer
    x = 1,028.66

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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.