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Finding the Fourth Proportional to 1,330.52, 1,994.99 and 892.26

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Solution

The fourth proportional to 1,330.52, 1,994.99 and 892.26 is: 1,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.52 : 1,994.99 = 892.26 : x
  2. Step 2: Convert to fraction form
    1,330.52/1,994.99 = 892.26/x
  3. Step 3: Cross multiply
    1,330.52x = 1,994.99 × 892.26
  4. Step 4: Simplify right side
    1,330.52x = 1,780,045.32
  5. Step 5: Solve for x
    x = 1,780,045.32/1,330.52
  6. Step 6: Final answer
    x = 1,337.86

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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.