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Finding the Fourth Proportional to 922.95, 1,273.80 and 529.97

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Solution

The fourth proportional to 922.95, 1,273.80 and 529.97 is: 731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.95 : 1,273.80 = 529.97 : x
  2. Step 2: Convert to fraction form
    922.95/1,273.80 = 529.97/x
  3. Step 3: Cross multiply
    922.95x = 1,273.80 × 529.97
  4. Step 4: Simplify right side
    922.95x = 675,069.42
  5. Step 5: Solve for x
    x = 675,069.42/922.95
  6. Step 6: Final answer
    x = 731.43

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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.