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Finding the Fourth Proportional to 1,299.80, 1,793.80 and 775.83

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Solution

The fourth proportional to 1,299.80, 1,793.80 and 775.83 is: 1,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.80 : 1,793.80 = 775.83 : x
  2. Step 2: Convert to fraction form
    1,299.80/1,793.80 = 775.83/x
  3. Step 3: Cross multiply
    1,299.80x = 1,793.80 × 775.83
  4. Step 4: Simplify right side
    1,299.80x = 1,391,677.10
  5. Step 5: Solve for x
    x = 1,391,677.10/1,299.80
  6. Step 6: Final answer
    x = 1,070.69

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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.