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Finding the Fourth Proportional to 900.97, 1,243.44 and 502.70

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Solution

The fourth proportional to 900.97, 1,243.44 and 502.70 is: 693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.97 : 1,243.44 = 502.70 : x
  2. Step 2: Convert to fraction form
    900.97/1,243.44 = 502.70/x
  3. Step 3: Cross multiply
    900.97x = 1,243.44 × 502.70
  4. Step 4: Simplify right side
    900.97x = 625,071.07
  5. Step 5: Solve for x
    x = 625,071.07/900.97
  6. Step 6: Final answer
    x = 693.78

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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.