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Finding the Fourth Proportional to 729.56, 1,000.01 and 719.31

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Solution

The fourth proportional to 729.56, 1,000.01 and 719.31 is: 985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,000.01 = 719.31 : x
  2. Step 2: Convert to fraction form
    729.56/1,000.01 = 719.31/x
  3. Step 3: Cross multiply
    729.56x = 1,000.01 × 719.31
  4. Step 4: Simplify right side
    729.56x = 719,317.19
  5. Step 5: Solve for x
    x = 719,317.19/729.56
  6. Step 6: Final answer
    x = 985.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.