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Finding the Fourth Proportional to 666.74, 998.04 and 535.52

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Solution

The fourth proportional to 666.74, 998.04 and 535.52 is: 801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 998.04 = 535.52 : x
  2. Step 2: Convert to fraction form
    666.74/998.04 = 535.52/x
  3. Step 3: Cross multiply
    666.74x = 998.04 × 535.52
  4. Step 4: Simplify right side
    666.74x = 534,470.38
  5. Step 5: Solve for x
    x = 534,470.38/666.74
  6. Step 6: Final answer
    x = 801.62

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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.