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Finding the Fourth Proportional to 900.78, 1,243.51 and 701.22

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Solution

The fourth proportional to 900.78, 1,243.51 and 701.22 is: 968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,243.51 = 701.22 : x
  2. Step 2: Convert to fraction form
    900.78/1,243.51 = 701.22/x
  3. Step 3: Cross multiply
    900.78x = 1,243.51 × 701.22
  4. Step 4: Simplify right side
    900.78x = 871,974.08
  5. Step 5: Solve for x
    x = 871,974.08/900.78
  6. Step 6: Final answer
    x = 968.02

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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.