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Finding the Fourth Proportional to 698.86, 965.68 and 502.03

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Solution

The fourth proportional to 698.86, 965.68 and 502.03 is: 693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 965.68 = 502.03 : x
  2. Step 2: Convert to fraction form
    698.86/965.68 = 502.03/x
  3. Step 3: Cross multiply
    698.86x = 965.68 × 502.03
  4. Step 4: Simplify right side
    698.86x = 484,800.33
  5. Step 5: Solve for x
    x = 484,800.33/698.86
  6. Step 6: Final answer
    x = 693.70

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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.