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Finding the Fourth Proportional to 1,310.02, 1,963.11 and 659.86

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Solution

The fourth proportional to 1,310.02, 1,963.11 and 659.86 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.02 : 1,963.11 = 659.86 : x
  2. Step 2: Convert to fraction form
    1,310.02/1,963.11 = 659.86/x
  3. Step 3: Cross multiply
    1,310.02x = 1,963.11 × 659.86
  4. Step 4: Simplify right side
    1,310.02x = 1,295,377.76
  5. Step 5: Solve for x
    x = 1,295,377.76/1,310.02
  6. Step 6: Final answer
    x = 988.82

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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.