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Finding the Fourth Proportional to 669.15, 923.74 and 503.42

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Solution

The fourth proportional to 669.15, 923.74 and 503.42 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.15 : 923.74 = 503.42 : x
  2. Step 2: Convert to fraction form
    669.15/923.74 = 503.42/x
  3. Step 3: Cross multiply
    669.15x = 923.74 × 503.42
  4. Step 4: Simplify right side
    669.15x = 465,030.24
  5. Step 5: Solve for x
    x = 465,030.24/669.15
  6. Step 6: Final answer
    x = 694.96

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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.