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Finding the Fourth Proportional to 1,305.96, 1,801.50 and 781.80

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Solution

The fourth proportional to 1,305.96, 1,801.50 and 781.80 is: 1,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.96 : 1,801.50 = 781.80 : x
  2. Step 2: Convert to fraction form
    1,305.96/1,801.50 = 781.80/x
  3. Step 3: Cross multiply
    1,305.96x = 1,801.50 × 781.80
  4. Step 4: Simplify right side
    1,305.96x = 1,408,412.70
  5. Step 5: Solve for x
    x = 1,408,412.70/1,305.96
  6. Step 6: Final answer
    x = 1,078.45

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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.