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Finding the Fourth Proportional to 1,107.89, 1,527.89 and 921.99

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Solution

The fourth proportional to 1,107.89, 1,527.89 and 921.99 is: 1,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.89 : 1,527.89 = 921.99 : x
  2. Step 2: Convert to fraction form
    1,107.89/1,527.89 = 921.99/x
  3. Step 3: Cross multiply
    1,107.89x = 1,527.89 × 921.99
  4. Step 4: Simplify right side
    1,107.89x = 1,408,694.69
  5. Step 5: Solve for x
    x = 1,408,694.69/1,107.89
  6. Step 6: Final answer
    x = 1,271.52

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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.