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Finding the Fourth Proportional to 723.06, 997.31 and 502.07

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Solution

The fourth proportional to 723.06, 997.31 and 502.07 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 997.31 = 502.07 : x
  2. Step 2: Convert to fraction form
    723.06/997.31 = 502.07/x
  3. Step 3: Cross multiply
    723.06x = 997.31 × 502.07
  4. Step 4: Simplify right side
    723.06x = 500,715.70
  5. Step 5: Solve for x
    x = 500,715.70/723.06
  6. Step 6: Final answer
    x = 692.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.