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Finding the Fourth Proportional to 667.85, 920.81 and 501.53

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Solution

The fourth proportional to 667.85, 920.81 and 501.53 is: 691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 920.81 = 501.53 : x
  2. Step 2: Convert to fraction form
    667.85/920.81 = 501.53/x
  3. Step 3: Cross multiply
    667.85x = 920.81 × 501.53
  4. Step 4: Simplify right side
    667.85x = 461,811.33
  5. Step 5: Solve for x
    x = 461,811.33/667.85
  6. Step 6: Final answer
    x = 691.49

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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.