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Finding the Fourth Proportional to 913.75, 1,262.06 and 618.51

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Solution

The fourth proportional to 913.75, 1,262.06 and 618.51 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.75 : 1,262.06 = 618.51 : x
  2. Step 2: Convert to fraction form
    913.75/1,262.06 = 618.51/x
  3. Step 3: Cross multiply
    913.75x = 1,262.06 × 618.51
  4. Step 4: Simplify right side
    913.75x = 780,596.73
  5. Step 5: Solve for x
    x = 780,596.73/913.75
  6. Step 6: Final answer
    x = 854.28

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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.