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Finding the Fourth Proportional to 1,309.22, 1,963.88 and 651.41

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Solution

The fourth proportional to 1,309.22, 1,963.88 and 651.41 is: 977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.22 : 1,963.88 = 651.41 : x
  2. Step 2: Convert to fraction form
    1,309.22/1,963.88 = 651.41/x
  3. Step 3: Cross multiply
    1,309.22x = 1,963.88 × 651.41
  4. Step 4: Simplify right side
    1,309.22x = 1,279,277.99
  5. Step 5: Solve for x
    x = 1,279,277.99/1,309.22
  6. Step 6: Final answer
    x = 977.13

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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.