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Finding the Fourth Proportional to 925.96, 1,277.84 and 506.30

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Solution

The fourth proportional to 925.96, 1,277.84 and 506.30 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.96 : 1,277.84 = 506.30 : x
  2. Step 2: Convert to fraction form
    925.96/1,277.84 = 506.30/x
  3. Step 3: Cross multiply
    925.96x = 1,277.84 × 506.30
  4. Step 4: Simplify right side
    925.96x = 646,970.32
  5. Step 5: Solve for x
    x = 646,970.32/925.96
  6. Step 6: Final answer
    x = 698.70

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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.