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Finding the Fourth Proportional to 1,471.48, 2,203.26 and 739.24

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Solution

The fourth proportional to 1,471.48, 2,203.26 and 739.24 is: 1,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.48 : 2,203.26 = 739.24 : x
  2. Step 2: Convert to fraction form
    1,471.48/2,203.26 = 739.24/x
  3. Step 3: Cross multiply
    1,471.48x = 2,203.26 × 739.24
  4. Step 4: Simplify right side
    1,471.48x = 1,628,737.92
  5. Step 5: Solve for x
    x = 1,628,737.92/1,471.48
  6. Step 6: Final answer
    x = 1,106.87

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1.5x scale

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.