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Finding the Fourth Proportional to 1,330.79, 1,994.34 and 680.15

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Solution

The fourth proportional to 1,330.79, 1,994.34 and 680.15 is: 1,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.79 : 1,994.34 = 680.15 : x
  2. Step 2: Convert to fraction form
    1,330.79/1,994.34 = 680.15/x
  3. Step 3: Cross multiply
    1,330.79x = 1,994.34 × 680.15
  4. Step 4: Simplify right side
    1,330.79x = 1,356,446.95
  5. Step 5: Solve for x
    x = 1,356,446.95/1,330.79
  6. Step 6: Final answer
    x = 1,019.28

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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.