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Finding the Fourth Proportional to 1,308.06, 1,962.06 and 649.86

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Solution

The fourth proportional to 1,308.06, 1,962.06 and 649.86 is: 974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.06 : 1,962.06 = 649.86 : x
  2. Step 2: Convert to fraction form
    1,308.06/1,962.06 = 649.86/x
  3. Step 3: Cross multiply
    1,308.06x = 1,962.06 × 649.86
  4. Step 4: Simplify right side
    1,308.06x = 1,275,064.31
  5. Step 5: Solve for x
    x = 1,275,064.31/1,308.06
  6. Step 6: Final answer
    x = 974.78

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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.