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Finding the Fourth Proportional to 729.75, 1,095.14 and 296.91

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Solution

The fourth proportional to 729.75, 1,095.14 and 296.91 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.75 : 1,095.14 = 296.91 : x
  2. Step 2: Convert to fraction form
    729.75/1,095.14 = 296.91/x
  3. Step 3: Cross multiply
    729.75x = 1,095.14 × 296.91
  4. Step 4: Simplify right side
    729.75x = 325,156.53
  5. Step 5: Solve for x
    x = 325,156.53/729.75
  6. Step 6: Final answer
    x = 445.57

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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.