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Finding the Fourth Proportional to 922.17, 1,272.56 and 502.54

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Solution

The fourth proportional to 922.17, 1,272.56 and 502.54 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.17 : 1,272.56 = 502.54 : x
  2. Step 2: Convert to fraction form
    922.17/1,272.56 = 502.54/x
  3. Step 3: Cross multiply
    922.17x = 1,272.56 × 502.54
  4. Step 4: Simplify right side
    922.17x = 639,513.56
  5. Step 5: Solve for x
    x = 639,513.56/922.17
  6. Step 6: Final answer
    x = 693.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.