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Finding the Fourth Proportional to 1,078.79, 1,488.72 and 659.16

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Solution

The fourth proportional to 1,078.79, 1,488.72 and 659.16 is: 909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.79 : 1,488.72 = 659.16 : x
  2. Step 2: Convert to fraction form
    1,078.79/1,488.72 = 659.16/x
  3. Step 3: Cross multiply
    1,078.79x = 1,488.72 × 659.16
  4. Step 4: Simplify right side
    1,078.79x = 981,304.68
  5. Step 5: Solve for x
    x = 981,304.68/1,078.79
  6. Step 6: Final answer
    x = 909.63

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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.