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Finding the Fourth Proportional to 1,078.45, 1,488.22 and 636.32

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Solution

The fourth proportional to 1,078.45, 1,488.22 and 636.32 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.45 : 1,488.22 = 636.32 : x
  2. Step 2: Convert to fraction form
    1,078.45/1,488.22 = 636.32/x
  3. Step 3: Cross multiply
    1,078.45x = 1,488.22 × 636.32
  4. Step 4: Simplify right side
    1,078.45x = 946,986.28
  5. Step 5: Solve for x
    x = 946,986.28/1,078.45
  6. Step 6: Final answer
    x = 878.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.