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Finding the Fourth Proportional to 1,448.57, 1,998.92 and 819.16

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Solution

The fourth proportional to 1,448.57, 1,998.92 and 819.16 is: 1,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.57 : 1,998.92 = 819.16 : x
  2. Step 2: Convert to fraction form
    1,448.57/1,998.92 = 819.16/x
  3. Step 3: Cross multiply
    1,448.57x = 1,998.92 × 819.16
  4. Step 4: Simplify right side
    1,448.57x = 1,637,424.94
  5. Step 5: Solve for x
    x = 1,637,424.94/1,448.57
  6. Step 6: Final answer
    x = 1,130.37

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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.