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Finding the Fourth Proportional to 1,289.92, 1,934.97 and 559.54

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Solution

The fourth proportional to 1,289.92, 1,934.97 and 559.54 is: 839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.92 : 1,934.97 = 559.54 : x
  2. Step 2: Convert to fraction form
    1,289.92/1,934.97 = 559.54/x
  3. Step 3: Cross multiply
    1,289.92x = 1,934.97 × 559.54
  4. Step 4: Simplify right side
    1,289.92x = 1,082,693.11
  5. Step 5: Solve for x
    x = 1,082,693.11/1,289.92
  6. Step 6: Final answer
    x = 839.35

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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.