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Finding the Fourth Proportional to 1,308.29, 1,963.04 and 659.07

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Solution

The fourth proportional to 1,308.29, 1,963.04 and 659.07 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.29 : 1,963.04 = 659.07 : x
  2. Step 2: Convert to fraction form
    1,308.29/1,963.04 = 659.07/x
  3. Step 3: Cross multiply
    1,308.29x = 1,963.04 × 659.07
  4. Step 4: Simplify right side
    1,308.29x = 1,293,777.48
  5. Step 5: Solve for x
    x = 1,293,777.48/1,308.29
  6. Step 6: Final answer
    x = 988.91

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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.