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Finding the Fourth Proportional to 1,078.67, 1,488.57 and 659.05

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Solution

The fourth proportional to 1,078.67, 1,488.57 and 659.05 is: 909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.67 : 1,488.57 = 659.05 : x
  2. Step 2: Convert to fraction form
    1,078.67/1,488.57 = 659.05/x
  3. Step 3: Cross multiply
    1,078.67x = 1,488.57 × 659.05
  4. Step 4: Simplify right side
    1,078.67x = 981,042.06
  5. Step 5: Solve for x
    x = 981,042.06/1,078.67
  6. Step 6: Final answer
    x = 909.49

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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.