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Finding the Fourth Proportional to 729.07, 1,093.32 and 312.56

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Solution

The fourth proportional to 729.07, 1,093.32 and 312.56 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.07 : 1,093.32 = 312.56 : x
  2. Step 2: Convert to fraction form
    729.07/1,093.32 = 312.56/x
  3. Step 3: Cross multiply
    729.07x = 1,093.32 × 312.56
  4. Step 4: Simplify right side
    729.07x = 341,727.61
  5. Step 5: Solve for x
    x = 341,727.61/729.07
  6. Step 6: Final answer
    x = 468.72

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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.