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Finding the Fourth Proportional to 794.49, 1,191.65 and 361.50

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Solution

The fourth proportional to 794.49, 1,191.65 and 361.50 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.49 : 1,191.65 = 361.50 : x
  2. Step 2: Convert to fraction form
    794.49/1,191.65 = 361.50/x
  3. Step 3: Cross multiply
    794.49x = 1,191.65 × 361.50
  4. Step 4: Simplify right side
    794.49x = 430,779.67
  5. Step 5: Solve for x
    x = 430,779.67/794.49
  6. Step 6: Final answer
    x = 542.21

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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.