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Finding the Fourth Proportional to 794.75, 1,191.57 and 404.87

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Solution

The fourth proportional to 794.75, 1,191.57 and 404.87 is: 607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.75 : 1,191.57 = 404.87 : x
  2. Step 2: Convert to fraction form
    794.75/1,191.57 = 404.87/x
  3. Step 3: Cross multiply
    794.75x = 1,191.57 × 404.87
  4. Step 4: Simplify right side
    794.75x = 482,430.95
  5. Step 5: Solve for x
    x = 482,430.95/794.75
  6. Step 6: Final answer
    x = 607.02

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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.