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Finding the Fourth Proportional to 1,448.06, 1,998.24 and 809.88

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Solution

The fourth proportional to 1,448.06, 1,998.24 and 809.88 is: 1,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.06 : 1,998.24 = 809.88 : x
  2. Step 2: Convert to fraction form
    1,448.06/1,998.24 = 809.88/x
  3. Step 3: Cross multiply
    1,448.06x = 1,998.24 × 809.88
  4. Step 4: Simplify right side
    1,448.06x = 1,618,334.61
  5. Step 5: Solve for x
    x = 1,618,334.61/1,448.06
  6. Step 6: Final answer
    x = 1,117.59

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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.