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Finding the Fourth Proportional to 669.76, 923.52 and 642.88

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Solution

The fourth proportional to 669.76, 923.52 and 642.88 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 923.52 = 642.88 : x
  2. Step 2: Convert to fraction form
    669.76/923.52 = 642.88/x
  3. Step 3: Cross multiply
    669.76x = 923.52 × 642.88
  4. Step 4: Simplify right side
    669.76x = 593,712.54
  5. Step 5: Solve for x
    x = 593,712.54/669.76
  6. Step 6: Final answer
    x = 886.46

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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.