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Finding the Fourth Proportional to 1,448.29, 1,998.65 and 785.14

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Solution

The fourth proportional to 1,448.29, 1,998.65 and 785.14 is: 1,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.29 : 1,998.65 = 785.14 : x
  2. Step 2: Convert to fraction form
    1,448.29/1,998.65 = 785.14/x
  3. Step 3: Cross multiply
    1,448.29x = 1,998.65 × 785.14
  4. Step 4: Simplify right side
    1,448.29x = 1,569,220.06
  5. Step 5: Solve for x
    x = 1,569,220.06/1,448.29
  6. Step 6: Final answer
    x = 1,083.50

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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.