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Finding the Fourth Proportional to 1,107.91, 1,662.81 and 901.90

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Solution

The fourth proportional to 1,107.91, 1,662.81 and 901.90 is: 1,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.91 : 1,662.81 = 901.90 : x
  2. Step 2: Convert to fraction form
    1,107.91/1,662.81 = 901.90/x
  3. Step 3: Cross multiply
    1,107.91x = 1,662.81 × 901.90
  4. Step 4: Simplify right side
    1,107.91x = 1,499,688.34
  5. Step 5: Solve for x
    x = 1,499,688.34/1,107.91
  6. Step 6: Final answer
    x = 1,353.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.