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Finding the Fourth Proportional to 1,841.97, 2,763.07 and 525.83

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Solution

The fourth proportional to 1,841.97, 2,763.07 and 525.83 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.97 : 2,763.07 = 525.83 : x
  2. Step 2: Convert to fraction form
    1,841.97/2,763.07 = 525.83/x
  3. Step 3: Cross multiply
    1,841.97x = 2,763.07 × 525.83
  4. Step 4: Simplify right side
    1,841.97x = 1,452,890.62
  5. Step 5: Solve for x
    x = 1,452,890.62/1,841.97
  6. Step 6: Final answer
    x = 788.77

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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.