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Finding the Fourth Proportional to 1,705.07, 2,557.62 and 550.82

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Solution

The fourth proportional to 1,705.07, 2,557.62 and 550.82 is: 826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.07 : 2,557.62 = 550.82 : x
  2. Step 2: Convert to fraction form
    1,705.07/2,557.62 = 550.82/x
  3. Step 3: Cross multiply
    1,705.07x = 2,557.62 × 550.82
  4. Step 4: Simplify right side
    1,705.07x = 1,408,788.25
  5. Step 5: Solve for x
    x = 1,408,788.25/1,705.07
  6. Step 6: Final answer
    x = 826.23

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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.