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Finding the Fourth Proportional to 1,200.83, 1,801.21 and 847.99

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Solution

The fourth proportional to 1,200.83, 1,801.21 and 847.99 is: 1,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.83 : 1,801.21 = 847.99 : x
  2. Step 2: Convert to fraction form
    1,200.83/1,801.21 = 847.99/x
  3. Step 3: Cross multiply
    1,200.83x = 1,801.21 × 847.99
  4. Step 4: Simplify right side
    1,200.83x = 1,527,403.83
  5. Step 5: Solve for x
    x = 1,527,403.83/1,200.83
  6. Step 6: Final answer
    x = 1,271.96

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