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Finding the Fourth Proportional to 1,103.38, 1,647.47 and 898.33

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Solution

The fourth proportional to 1,103.38, 1,647.47 and 898.33 is: 1,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.38 : 1,647.47 = 898.33 : x
  2. Step 2: Convert to fraction form
    1,103.38/1,647.47 = 898.33/x
  3. Step 3: Cross multiply
    1,103.38x = 1,647.47 × 898.33
  4. Step 4: Simplify right side
    1,103.38x = 1,479,971.73
  5. Step 5: Solve for x
    x = 1,479,971.73/1,103.38
  6. Step 6: Final answer
    x = 1,341.31

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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.