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Finding the Fourth Proportional to 729.99, 1,096.29 and 700.63

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Solution

The fourth proportional to 729.99, 1,096.29 and 700.63 is: 1,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.99 : 1,096.29 = 700.63 : x
  2. Step 2: Convert to fraction form
    729.99/1,096.29 = 700.63/x
  3. Step 3: Cross multiply
    729.99x = 1,096.29 × 700.63
  4. Step 4: Simplify right side
    729.99x = 768,090.92
  5. Step 5: Solve for x
    x = 768,090.92/729.99
  6. Step 6: Final answer
    x = 1,052.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.