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Finding the Fourth Proportional to 729.02, 1,093.13 and 523.69

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Solution

The fourth proportional to 729.02, 1,093.13 and 523.69 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,093.13 = 523.69 : x
  2. Step 2: Convert to fraction form
    729.02/1,093.13 = 523.69/x
  3. Step 3: Cross multiply
    729.02x = 1,093.13 × 523.69
  4. Step 4: Simplify right side
    729.02x = 572,457.86
  5. Step 5: Solve for x
    x = 572,457.86/729.02
  6. Step 6: Final answer
    x = 785.24

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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.