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Finding the Fourth Proportional to 997.86, 1,498.32 and 536.54

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Solution

The fourth proportional to 997.86, 1,498.32 and 536.54 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.86 : 1,498.32 = 536.54 : x
  2. Step 2: Convert to fraction form
    997.86/1,498.32 = 536.54/x
  3. Step 3: Cross multiply
    997.86x = 1,498.32 × 536.54
  4. Step 4: Simplify right side
    997.86x = 803,909.55
  5. Step 5: Solve for x
    x = 803,909.55/997.86
  6. Step 6: Final answer
    x = 805.63

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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.