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Finding the Fourth Proportional to 1,333.30, 2,002.11 and 847.30

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Solution

The fourth proportional to 1,333.30, 2,002.11 and 847.30 is: 1,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.30 : 2,002.11 = 847.30 : x
  2. Step 2: Convert to fraction form
    1,333.30/2,002.11 = 847.30/x
  3. Step 3: Cross multiply
    1,333.30x = 2,002.11 × 847.30
  4. Step 4: Simplify right side
    1,333.30x = 1,696,387.80
  5. Step 5: Solve for x
    x = 1,696,387.80/1,333.30
  6. Step 6: Final answer
    x = 1,272.32

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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.