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Finding the Fourth Proportional to 1,078.24, 1,488.56 and 729.44

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Solution

The fourth proportional to 1,078.24, 1,488.56 and 729.44 is: 1,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.24 : 1,488.56 = 729.44 : x
  2. Step 2: Convert to fraction form
    1,078.24/1,488.56 = 729.44/x
  3. Step 3: Cross multiply
    1,078.24x = 1,488.56 × 729.44
  4. Step 4: Simplify right side
    1,078.24x = 1,085,815.21
  5. Step 5: Solve for x
    x = 1,085,815.21/1,078.24
  6. Step 6: Final answer
    x = 1,007.03

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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.