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Finding the Fourth Proportional to 925.80, 1,277.59 and 506.15

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Solution

The fourth proportional to 925.80, 1,277.59 and 506.15 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.80 : 1,277.59 = 506.15 : x
  2. Step 2: Convert to fraction form
    925.80/1,277.59 = 506.15/x
  3. Step 3: Cross multiply
    925.80x = 1,277.59 × 506.15
  4. Step 4: Simplify right side
    925.80x = 646,650.27
  5. Step 5: Solve for x
    x = 646,650.27/925.80
  6. Step 6: Final answer
    x = 698.48

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1.5x scale

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.