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Finding the Fourth Proportional to 794.33, 1,191.36 and 486.13

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Solution

The fourth proportional to 794.33, 1,191.36 and 486.13 is: 729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.33 : 1,191.36 = 486.13 : x
  2. Step 2: Convert to fraction form
    794.33/1,191.36 = 486.13/x
  3. Step 3: Cross multiply
    794.33x = 1,191.36 × 486.13
  4. Step 4: Simplify right side
    794.33x = 579,155.84
  5. Step 5: Solve for x
    x = 579,155.84/794.33
  6. Step 6: Final answer
    x = 729.11

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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.