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Finding the Fourth Proportional to 1,128.22, 1,692.33 and 780.46

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Solution

The fourth proportional to 1,128.22, 1,692.33 and 780.46 is: 1,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.22 : 1,692.33 = 780.46 : x
  2. Step 2: Convert to fraction form
    1,128.22/1,692.33 = 780.46/x
  3. Step 3: Cross multiply
    1,128.22x = 1,692.33 × 780.46
  4. Step 4: Simplify right side
    1,128.22x = 1,320,795.87
  5. Step 5: Solve for x
    x = 1,320,795.87/1,128.22
  6. Step 6: Final answer
    x = 1,170.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.