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Finding the Fourth Proportional to 1,078.20, 1,488.62 and 829.06

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Solution

The fourth proportional to 1,078.20, 1,488.62 and 829.06 is: 1,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.20 : 1,488.62 = 829.06 : x
  2. Step 2: Convert to fraction form
    1,078.20/1,488.62 = 829.06/x
  3. Step 3: Cross multiply
    1,078.20x = 1,488.62 × 829.06
  4. Step 4: Simplify right side
    1,078.20x = 1,234,155.30
  5. Step 5: Solve for x
    x = 1,234,155.30/1,078.20
  6. Step 6: Final answer
    x = 1,144.64

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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.