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Finding the Fourth Proportional to 925.67, 1,277.38 and 506.01

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Solution

The fourth proportional to 925.67, 1,277.38 and 506.01 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.67 : 1,277.38 = 506.01 : x
  2. Step 2: Convert to fraction form
    925.67/1,277.38 = 506.01/x
  3. Step 3: Cross multiply
    925.67x = 1,277.38 × 506.01
  4. Step 4: Simplify right side
    925.67x = 646,367.05
  5. Step 5: Solve for x
    x = 646,367.05/925.67
  6. Step 6: Final answer
    x = 698.27

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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.