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Finding the Fourth Proportional to 669.39, 921.01 and 653.85

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Solution

The fourth proportional to 669.39, 921.01 and 653.85 is: 899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.39 : 921.01 = 653.85 : x
  2. Step 2: Convert to fraction form
    669.39/921.01 = 653.85/x
  3. Step 3: Cross multiply
    669.39x = 921.01 × 653.85
  4. Step 4: Simplify right side
    669.39x = 602,200.75
  5. Step 5: Solve for x
    x = 602,200.75/669.39
  6. Step 6: Final answer
    x = 899.63

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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.