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Finding the Fourth Proportional to 1,444.83, 1,993.87 and 781.68

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Solution

The fourth proportional to 1,444.83, 1,993.87 and 781.68 is: 1,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.83 : 1,993.87 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,444.83/1,993.87 = 781.68/x
  3. Step 3: Cross multiply
    1,444.83x = 1,993.87 × 781.68
  4. Step 4: Simplify right side
    1,444.83x = 1,558,564.39
  5. Step 5: Solve for x
    x = 1,558,564.39/1,444.83
  6. Step 6: Final answer
    x = 1,078.72

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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.