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Finding the Fourth Proportional to 662.08, 993.64 and 500.20

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Solution

The fourth proportional to 662.08, 993.64 and 500.20 is: 750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.08 : 993.64 = 500.20 : x
  2. Step 2: Convert to fraction form
    662.08/993.64 = 500.20/x
  3. Step 3: Cross multiply
    662.08x = 993.64 × 500.20
  4. Step 4: Simplify right side
    662.08x = 497,018.73
  5. Step 5: Solve for x
    x = 497,018.73/662.08
  6. Step 6: Final answer
    x = 750.69

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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.