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Finding the Fourth Proportional to 669.33, 923.72 and 558.63

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Solution

The fourth proportional to 669.33, 923.72 and 558.63 is: 770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.33 : 923.72 = 558.63 : x
  2. Step 2: Convert to fraction form
    669.33/923.72 = 558.63/x
  3. Step 3: Cross multiply
    669.33x = 923.72 × 558.63
  4. Step 4: Simplify right side
    669.33x = 516,014.91
  5. Step 5: Solve for x
    x = 516,014.91/669.33
  6. Step 6: Final answer
    x = 770.94

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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.