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Finding the Fourth Proportional to 1,472.06, 2,208.66 and 649.75

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Solution

The fourth proportional to 1,472.06, 2,208.66 and 649.75 is: 974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.06 : 2,208.66 = 649.75 : x
  2. Step 2: Convert to fraction form
    1,472.06/2,208.66 = 649.75/x
  3. Step 3: Cross multiply
    1,472.06x = 2,208.66 × 649.75
  4. Step 4: Simplify right side
    1,472.06x = 1,435,076.84
  5. Step 5: Solve for x
    x = 1,435,076.84/1,472.06
  6. Step 6: Final answer
    x = 974.88

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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.