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Finding the Fourth Proportional to 794.69, 1,190.24 and 384.13

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Solution

The fourth proportional to 794.69, 1,190.24 and 384.13 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,190.24 = 384.13 : x
  2. Step 2: Convert to fraction form
    794.69/1,190.24 = 384.13/x
  3. Step 3: Cross multiply
    794.69x = 1,190.24 × 384.13
  4. Step 4: Simplify right side
    794.69x = 457,206.89
  5. Step 5: Solve for x
    x = 457,206.89/794.69
  6. Step 6: Final answer
    x = 575.33

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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.