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Finding the Fourth Proportional to 1,119.62, 1,678.59 and 680.96

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Solution

The fourth proportional to 1,119.62, 1,678.59 and 680.96 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.62 : 1,678.59 = 680.96 : x
  2. Step 2: Convert to fraction form
    1,119.62/1,678.59 = 680.96/x
  3. Step 3: Cross multiply
    1,119.62x = 1,678.59 × 680.96
  4. Step 4: Simplify right side
    1,119.62x = 1,143,044.25
  5. Step 5: Solve for x
    x = 1,143,044.25/1,119.62
  6. Step 6: Final answer
    x = 1,020.93

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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.