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Finding the Fourth Proportional to 1,338.64, 2,008.77 and 689.83

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Solution

The fourth proportional to 1,338.64, 2,008.77 and 689.83 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.64 : 2,008.77 = 689.83 : x
  2. Step 2: Convert to fraction form
    1,338.64/2,008.77 = 689.83/x
  3. Step 3: Cross multiply
    1,338.64x = 2,008.77 × 689.83
  4. Step 4: Simplify right side
    1,338.64x = 1,385,702.20
  5. Step 5: Solve for x
    x = 1,385,702.20/1,338.64
  6. Step 6: Final answer
    x = 1,035.16

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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.