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Finding the Fourth Proportional to 1,121.12, 1,678.07 and 599.81

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Solution

The fourth proportional to 1,121.12, 1,678.07 and 599.81 is: 897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.12 : 1,678.07 = 599.81 : x
  2. Step 2: Convert to fraction form
    1,121.12/1,678.07 = 599.81/x
  3. Step 3: Cross multiply
    1,121.12x = 1,678.07 × 599.81
  4. Step 4: Simplify right side
    1,121.12x = 1,006,511.78
  5. Step 5: Solve for x
    x = 1,006,511.78/1,121.12
  6. Step 6: Final answer
    x = 897.78

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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.