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Finding the Fourth Proportional to 925.68, 1,277.43 and 506.04

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Solution

The fourth proportional to 925.68, 1,277.43 and 506.04 is: 698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.68 : 1,277.43 = 506.04 : x
  2. Step 2: Convert to fraction form
    925.68/1,277.43 = 506.04/x
  3. Step 3: Cross multiply
    925.68x = 1,277.43 × 506.04
  4. Step 4: Simplify right side
    925.68x = 646,430.68
  5. Step 5: Solve for x
    x = 646,430.68/925.68
  6. Step 6: Final answer
    x = 698.33

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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.