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Finding the Fourth Proportional to 1,448.40, 1,998.79 and 785.25

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Solution

The fourth proportional to 1,448.40, 1,998.79 and 785.25 is: 1,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.40 : 1,998.79 = 785.25 : x
  2. Step 2: Convert to fraction form
    1,448.40/1,998.79 = 785.25/x
  3. Step 3: Cross multiply
    1,448.40x = 1,998.79 × 785.25
  4. Step 4: Simplify right side
    1,448.40x = 1,569,549.85
  5. Step 5: Solve for x
    x = 1,569,549.85/1,448.40
  6. Step 6: Final answer
    x = 1,083.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.