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Finding the Fourth Proportional to 997.20, 1,494.62 and 535.30

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Solution

The fourth proportional to 997.20, 1,494.62 and 535.30 is: 802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.20 : 1,494.62 = 535.30 : x
  2. Step 2: Convert to fraction form
    997.20/1,494.62 = 535.30/x
  3. Step 3: Cross multiply
    997.20x = 1,494.62 × 535.30
  4. Step 4: Simplify right side
    997.20x = 800,070.09
  5. Step 5: Solve for x
    x = 800,070.09/997.20
  6. Step 6: Final answer
    x = 802.32

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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.