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Finding the Fourth Proportional to 667.71, 999.54 and 536.49

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Solution

The fourth proportional to 667.71, 999.54 and 536.49 is: 803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 999.54 = 536.49 : x
  2. Step 2: Convert to fraction form
    667.71/999.54 = 536.49/x
  3. Step 3: Cross multiply
    667.71x = 999.54 × 536.49
  4. Step 4: Simplify right side
    667.71x = 536,243.21
  5. Step 5: Solve for x
    x = 536,243.21/667.71
  6. Step 6: Final answer
    x = 803.11

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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.