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Finding the Fourth Proportional to 925.22, 1,276.80 and 511.22

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Solution

The fourth proportional to 925.22, 1,276.80 and 511.22 is: 705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.22 : 1,276.80 = 511.22 : x
  2. Step 2: Convert to fraction form
    925.22/1,276.80 = 511.22/x
  3. Step 3: Cross multiply
    925.22x = 1,276.80 × 511.22
  4. Step 4: Simplify right side
    925.22x = 652,725.06
  5. Step 5: Solve for x
    x = 652,725.06/925.22
  6. Step 6: Final answer
    x = 705.48

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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.