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Finding the Fourth Proportional to 1,107.28, 1,527.90 and 664.96

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Solution

The fourth proportional to 1,107.28, 1,527.90 and 664.96 is: 917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.28 : 1,527.90 = 664.96 : x
  2. Step 2: Convert to fraction form
    1,107.28/1,527.90 = 664.96/x
  3. Step 3: Cross multiply
    1,107.28x = 1,527.90 × 664.96
  4. Step 4: Simplify right side
    1,107.28x = 1,015,992.38
  5. Step 5: Solve for x
    x = 1,015,992.38/1,107.28
  6. Step 6: Final answer
    x = 917.56

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1.5x scale

Why These Related Problems?

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