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Finding the Fourth Proportional to 1,392.60, 2,086.06 and 659.95

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Solution

The fourth proportional to 1,392.60, 2,086.06 and 659.95 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.60 : 2,086.06 = 659.95 : x
  2. Step 2: Convert to fraction form
    1,392.60/2,086.06 = 659.95/x
  3. Step 3: Cross multiply
    1,392.60x = 2,086.06 × 659.95
  4. Step 4: Simplify right side
    1,392.60x = 1,376,695.30
  5. Step 5: Solve for x
    x = 1,376,695.30/1,392.60
  6. Step 6: Final answer
    x = 988.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.