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Finding the Fourth Proportional to 1,121.55, 1,678.72 and 600.25

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Solution

The fourth proportional to 1,121.55, 1,678.72 and 600.25 is: 898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.55 : 1,678.72 = 600.25 : x
  2. Step 2: Convert to fraction form
    1,121.55/1,678.72 = 600.25/x
  3. Step 3: Cross multiply
    1,121.55x = 1,678.72 × 600.25
  4. Step 4: Simplify right side
    1,121.55x = 1,007,651.68
  5. Step 5: Solve for x
    x = 1,007,651.68/1,121.55
  6. Step 6: Final answer
    x = 898.45

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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.