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Finding the Fourth Proportional to 1,448.46, 1,998.63 and 858.96

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Solution

The fourth proportional to 1,448.46, 1,998.63 and 858.96 is: 1,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.46 : 1,998.63 = 858.96 : x
  2. Step 2: Convert to fraction form
    1,448.46/1,998.63 = 858.96/x
  3. Step 3: Cross multiply
    1,448.46x = 1,998.63 × 858.96
  4. Step 4: Simplify right side
    1,448.46x = 1,716,743.22
  5. Step 5: Solve for x
    x = 1,716,743.22/1,448.46
  6. Step 6: Final answer
    x = 1,185.22

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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.