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Finding the Fourth Proportional to 925.25, 1,384.79 and 771.48

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Solution

The fourth proportional to 925.25, 1,384.79 and 771.48 is: 1,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.25 : 1,384.79 = 771.48 : x
  2. Step 2: Convert to fraction form
    925.25/1,384.79 = 771.48/x
  3. Step 3: Cross multiply
    925.25x = 1,384.79 × 771.48
  4. Step 4: Simplify right side
    925.25x = 1,068,333.93
  5. Step 5: Solve for x
    x = 1,068,333.93/925.25
  6. Step 6: Final answer
    x = 1,154.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.