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Finding the Fourth Proportional to 1,122.66, 1,685.21 and 684.86

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Solution

The fourth proportional to 1,122.66, 1,685.21 and 684.86 is: 1,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.66 : 1,685.21 = 684.86 : x
  2. Step 2: Convert to fraction form
    1,122.66/1,685.21 = 684.86/x
  3. Step 3: Cross multiply
    1,122.66x = 1,685.21 × 684.86
  4. Step 4: Simplify right side
    1,122.66x = 1,154,121.07
  5. Step 5: Solve for x
    x = 1,154,121.07/1,122.66
  6. Step 6: Final answer
    x = 1,028.02

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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.