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Finding the Fourth Proportional to 925.25, 1,276.87 and 505.64

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Solution

The fourth proportional to 925.25, 1,276.87 and 505.64 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.25 : 1,276.87 = 505.64 : x
  2. Step 2: Convert to fraction form
    925.25/1,276.87 = 505.64/x
  3. Step 3: Cross multiply
    925.25x = 1,276.87 × 505.64
  4. Step 4: Simplify right side
    925.25x = 645,630.16
  5. Step 5: Solve for x
    x = 645,630.16/925.25
  6. Step 6: Final answer
    x = 697.79

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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.