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Finding the Fourth Proportional to 1,308.45, 1,962.96 and 650.69

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Solution

The fourth proportional to 1,308.45, 1,962.96 and 650.69 is: 976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.45 : 1,962.96 = 650.69 : x
  2. Step 2: Convert to fraction form
    1,308.45/1,962.96 = 650.69/x
  3. Step 3: Cross multiply
    1,308.45x = 1,962.96 × 650.69
  4. Step 4: Simplify right side
    1,308.45x = 1,277,268.63
  5. Step 5: Solve for x
    x = 1,277,268.63/1,308.45
  6. Step 6: Final answer
    x = 976.17

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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.