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Finding the Fourth Proportional to 794.96, 1,192.44 and 404.96

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Solution

The fourth proportional to 794.96, 1,192.44 and 404.96 is: 607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,192.44 = 404.96 : x
  2. Step 2: Convert to fraction form
    794.96/1,192.44 = 404.96/x
  3. Step 3: Cross multiply
    794.96x = 1,192.44 × 404.96
  4. Step 4: Simplify right side
    794.96x = 482,890.50
  5. Step 5: Solve for x
    x = 482,890.50/794.96
  6. Step 6: Final answer
    x = 607.44

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1.5x scale

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.