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Finding the Fourth Proportional to 1,448.31, 1,998.68 and 785.17

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Solution

The fourth proportional to 1,448.31, 1,998.68 and 785.17 is: 1,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.31 : 1,998.68 = 785.17 : x
  2. Step 2: Convert to fraction form
    1,448.31/1,998.68 = 785.17/x
  3. Step 3: Cross multiply
    1,448.31x = 1,998.68 × 785.17
  4. Step 4: Simplify right side
    1,448.31x = 1,569,290.91
  5. Step 5: Solve for x
    x = 1,569,290.91/1,448.31
  6. Step 6: Final answer
    x = 1,083.53

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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.