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Finding the Fourth Proportional to 663.82, 993.90 and 501.01

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Solution

The fourth proportional to 663.82, 993.90 and 501.01 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.82 : 993.90 = 501.01 : x
  2. Step 2: Convert to fraction form
    663.82/993.90 = 501.01/x
  3. Step 3: Cross multiply
    663.82x = 993.90 × 501.01
  4. Step 4: Simplify right side
    663.82x = 497,948.87
  5. Step 5: Solve for x
    x = 497,948.87/663.82
  6. Step 6: Final answer
    x = 750.13

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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.