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Finding the Fourth Proportional to 1,078.05, 1,616.87 and 492.87

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Solution

The fourth proportional to 1,078.05, 1,616.87 and 492.87 is: 739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.05 : 1,616.87 = 492.87 : x
  2. Step 2: Convert to fraction form
    1,078.05/1,616.87 = 492.87/x
  3. Step 3: Cross multiply
    1,078.05x = 1,616.87 × 492.87
  4. Step 4: Simplify right side
    1,078.05x = 796,904.25
  5. Step 5: Solve for x
    x = 796,904.25/1,078.05
  6. Step 6: Final answer
    x = 739.21

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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.