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Finding the Fourth Proportional to 790.92, 1,184.66 and 378.80

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Solution

The fourth proportional to 790.92, 1,184.66 and 378.80 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.92 : 1,184.66 = 378.80 : x
  2. Step 2: Convert to fraction form
    790.92/1,184.66 = 378.80/x
  3. Step 3: Cross multiply
    790.92x = 1,184.66 × 378.80
  4. Step 4: Simplify right side
    790.92x = 448,749.21
  5. Step 5: Solve for x
    x = 448,749.21/790.92
  6. Step 6: Final answer
    x = 567.38

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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.