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Finding the Fourth Proportional to 1,089.60, 1,626.08 and 844.80

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Solution

The fourth proportional to 1,089.60, 1,626.08 and 844.80 is: 1,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.60 : 1,626.08 = 844.80 : x
  2. Step 2: Convert to fraction form
    1,089.60/1,626.08 = 844.80/x
  3. Step 3: Cross multiply
    1,089.60x = 1,626.08 × 844.80
  4. Step 4: Simplify right side
    1,089.60x = 1,373,712.38
  5. Step 5: Solve for x
    x = 1,373,712.38/1,089.60
  6. Step 6: Final answer
    x = 1,260.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.