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Finding the Fourth Proportional to 1,330.87, 1,994.24 and 842.89

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Solution

The fourth proportional to 1,330.87, 1,994.24 and 842.89 is: 1,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.87 : 1,994.24 = 842.89 : x
  2. Step 2: Convert to fraction form
    1,330.87/1,994.24 = 842.89/x
  3. Step 3: Cross multiply
    1,330.87x = 1,994.24 × 842.89
  4. Step 4: Simplify right side
    1,330.87x = 1,680,924.95
  5. Step 5: Solve for x
    x = 1,680,924.95/1,330.87
  6. Step 6: Final answer
    x = 1,263.03

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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.