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Finding the Fourth Proportional to 1,330.92, 1,994.22 and 842.40

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Solution

The fourth proportional to 1,330.92, 1,994.22 and 842.40 is: 1,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.92 : 1,994.22 = 842.40 : x
  2. Step 2: Convert to fraction form
    1,330.92/1,994.22 = 842.40/x
  3. Step 3: Cross multiply
    1,330.92x = 1,994.22 × 842.40
  4. Step 4: Simplify right side
    1,330.92x = 1,679,930.93
  5. Step 5: Solve for x
    x = 1,679,930.93/1,330.92
  6. Step 6: Final answer
    x = 1,262.23

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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.