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Finding the Fourth Proportional to 1,338.54, 1,846.85 and 896.69

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Solution

The fourth proportional to 1,338.54, 1,846.85 and 896.69 is: 1,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.54 : 1,846.85 = 896.69 : x
  2. Step 2: Convert to fraction form
    1,338.54/1,846.85 = 896.69/x
  3. Step 3: Cross multiply
    1,338.54x = 1,846.85 × 896.69
  4. Step 4: Simplify right side
    1,338.54x = 1,656,038.21
  5. Step 5: Solve for x
    x = 1,656,038.21/1,338.54
  6. Step 6: Final answer
    x = 1,237.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.