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Finding the Fourth Proportional to 1,334.12, 2,000.88 and 846.48

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Solution

The fourth proportional to 1,334.12, 2,000.88 and 846.48 is: 1,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.12 : 2,000.88 = 846.48 : x
  2. Step 2: Convert to fraction form
    1,334.12/2,000.88 = 846.48/x
  3. Step 3: Cross multiply
    1,334.12x = 2,000.88 × 846.48
  4. Step 4: Simplify right side
    1,334.12x = 1,693,704.90
  5. Step 5: Solve for x
    x = 1,693,704.90/1,334.12
  6. Step 6: Final answer
    x = 1,269.53

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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.