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Finding the Fourth Proportional to 925.82, 1,277.62 and 511.82

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Solution

The fourth proportional to 925.82, 1,277.62 and 511.82 is: 706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.82 : 1,277.62 = 511.82 : x
  2. Step 2: Convert to fraction form
    925.82/1,277.62 = 511.82/x
  3. Step 3: Cross multiply
    925.82x = 1,277.62 × 511.82
  4. Step 4: Simplify right side
    925.82x = 653,905.08
  5. Step 5: Solve for x
    x = 653,905.08/925.82
  6. Step 6: Final answer
    x = 706.30

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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.