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Finding the Fourth Proportional to 1,448.17, 1,998.47 and 785.01

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Solution

The fourth proportional to 1,448.17, 1,998.47 and 785.01 is: 1,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.17 : 1,998.47 = 785.01 : x
  2. Step 2: Convert to fraction form
    1,448.17/1,998.47 = 785.01/x
  3. Step 3: Cross multiply
    1,448.17x = 1,998.47 × 785.01
  4. Step 4: Simplify right side
    1,448.17x = 1,568,818.93
  5. Step 5: Solve for x
    x = 1,568,818.93/1,448.17
  6. Step 6: Final answer
    x = 1,083.31

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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.