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Finding the Fourth Proportional to 723.64, 998.98 and 502.20

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Solution

The fourth proportional to 723.64, 998.98 and 502.20 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.98 = 502.20 : x
  2. Step 2: Convert to fraction form
    723.64/998.98 = 502.20/x
  3. Step 3: Cross multiply
    723.64x = 998.98 × 502.20
  4. Step 4: Simplify right side
    723.64x = 501,687.76
  5. Step 5: Solve for x
    x = 501,687.76/723.64
  6. Step 6: Final answer
    x = 693.28

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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.