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Finding the Fourth Proportional to 699.72, 965.18 and 502.92

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Solution

The fourth proportional to 699.72, 965.18 and 502.92 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 965.18 = 502.92 : x
  2. Step 2: Convert to fraction form
    699.72/965.18 = 502.92/x
  3. Step 3: Cross multiply
    699.72x = 965.18 × 502.92
  4. Step 4: Simplify right side
    699.72x = 485,408.33
  5. Step 5: Solve for x
    x = 485,408.33/699.72
  6. Step 6: Final answer
    x = 693.72

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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.