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Finding the Fourth Proportional to 797.50, 1,195.35 and 406.40

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Solution

The fourth proportional to 797.50, 1,195.35 and 406.40 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.50 : 1,195.35 = 406.40 : x
  2. Step 2: Convert to fraction form
    797.50/1,195.35 = 406.40/x
  3. Step 3: Cross multiply
    797.50x = 1,195.35 × 406.40
  4. Step 4: Simplify right side
    797.50x = 485,790.24
  5. Step 5: Solve for x
    x = 485,790.24/797.50
  6. Step 6: Final answer
    x = 609.14

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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.