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Finding the Fourth Proportional to 1,078.35, 1,488.07 and 659.40

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Solution

The fourth proportional to 1,078.35, 1,488.07 and 659.40 is: 909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.35 : 1,488.07 = 659.40 : x
  2. Step 2: Convert to fraction form
    1,078.35/1,488.07 = 659.40/x
  3. Step 3: Cross multiply
    1,078.35x = 1,488.07 × 659.40
  4. Step 4: Simplify right side
    1,078.35x = 981,229.64
  5. Step 5: Solve for x
    x = 981,229.64/1,078.35
  6. Step 6: Final answer
    x = 909.94

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