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Finding the Fourth Proportional to 667.05, 921.21 and 501

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Solution

The fourth proportional to 667.05, 921.21 and 501 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.05 : 921.21 = 501 : x
  2. Step 2: Convert to fraction form
    667.05/921.21 = 501/x
  3. Step 3: Cross multiply
    667.05x = 921.21 × 501
  4. Step 4: Simplify right side
    667.05x = 461,526.21
  5. Step 5: Solve for x
    x = 461,526.21/667.05
  6. Step 6: Final answer
    x = 691.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.