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Finding the Fourth Proportional to 794.54, 1,192.15 and 410.06

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Solution

The fourth proportional to 794.54, 1,192.15 and 410.06 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.54 : 1,192.15 = 410.06 : x
  2. Step 2: Convert to fraction form
    794.54/1,192.15 = 410.06/x
  3. Step 3: Cross multiply
    794.54x = 1,192.15 × 410.06
  4. Step 4: Simplify right side
    794.54x = 488,853.03
  5. Step 5: Solve for x
    x = 488,853.03/794.54
  6. Step 6: Final answer
    x = 615.27

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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.