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Finding the Fourth Proportional to 1,309.90, 1,962.62 and 650.90

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Solution

The fourth proportional to 1,309.90, 1,962.62 and 650.90 is: 975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.90 : 1,962.62 = 650.90 : x
  2. Step 2: Convert to fraction form
    1,309.90/1,962.62 = 650.90/x
  3. Step 3: Cross multiply
    1,309.90x = 1,962.62 × 650.90
  4. Step 4: Simplify right side
    1,309.90x = 1,277,469.36
  5. Step 5: Solve for x
    x = 1,277,469.36/1,309.90
  6. Step 6: Final answer
    x = 975.24

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