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Finding the Fourth Proportional to 729.86, 1,093.95 and 456.02

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Solution

The fourth proportional to 729.86, 1,093.95 and 456.02 is: 683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.86 : 1,093.95 = 456.02 : x
  2. Step 2: Convert to fraction form
    729.86/1,093.95 = 456.02/x
  3. Step 3: Cross multiply
    729.86x = 1,093.95 × 456.02
  4. Step 4: Simplify right side
    729.86x = 498,863.08
  5. Step 5: Solve for x
    x = 498,863.08/729.86
  6. Step 6: Final answer
    x = 683.51

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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.