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Finding the Fourth Proportional to 1,309.64, 1,962.57 and 659.48

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Solution

The fourth proportional to 1,309.64, 1,962.57 and 659.48 is: 988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.64 : 1,962.57 = 659.48 : x
  2. Step 2: Convert to fraction form
    1,309.64/1,962.57 = 659.48/x
  3. Step 3: Cross multiply
    1,309.64x = 1,962.57 × 659.48
  4. Step 4: Simplify right side
    1,309.64x = 1,294,275.66
  5. Step 5: Solve for x
    x = 1,294,275.66/1,309.64
  6. Step 6: Final answer
    x = 988.27

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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.