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Finding the Fourth Proportional to 794.88, 1,191.24 and 410.40

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Solution

The fourth proportional to 794.88, 1,191.24 and 410.40 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,191.24 = 410.40 : x
  2. Step 2: Convert to fraction form
    794.88/1,191.24 = 410.40/x
  3. Step 3: Cross multiply
    794.88x = 1,191.24 × 410.40
  4. Step 4: Simplify right side
    794.88x = 488,884.90
  5. Step 5: Solve for x
    x = 488,884.90/794.88
  6. Step 6: Final answer
    x = 615.04

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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.