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Finding the Fourth Proportional to 1,200.41, 1,656.53 and 669.27

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Solution

The fourth proportional to 1,200.41, 1,656.53 and 669.27 is: 923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.41 : 1,656.53 = 669.27 : x
  2. Step 2: Convert to fraction form
    1,200.41/1,656.53 = 669.27/x
  3. Step 3: Cross multiply
    1,200.41x = 1,656.53 × 669.27
  4. Step 4: Simplify right side
    1,200.41x = 1,108,664.67
  5. Step 5: Solve for x
    x = 1,108,664.67/1,200.41
  6. Step 6: Final answer
    x = 923.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.