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Finding the Fourth Proportional to 1,705.12, 2,556.88 and 550.88

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Solution

The fourth proportional to 1,705.12, 2,556.88 and 550.88 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.12 : 2,556.88 = 550.88 : x
  2. Step 2: Convert to fraction form
    1,705.12/2,556.88 = 550.88/x
  3. Step 3: Cross multiply
    1,705.12x = 2,556.88 × 550.88
  4. Step 4: Simplify right side
    1,705.12x = 1,408,534.05
  5. Step 5: Solve for x
    x = 1,408,534.05/1,705.12
  6. Step 6: Final answer
    x = 826.06

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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.