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Finding the Fourth Proportional to 913.83, 1,260.09 and 618.59

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Solution

The fourth proportional to 913.83, 1,260.09 and 618.59 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.83 : 1,260.09 = 618.59 : x
  2. Step 2: Convert to fraction form
    913.83/1,260.09 = 618.59/x
  3. Step 3: Cross multiply
    913.83x = 1,260.09 × 618.59
  4. Step 4: Simplify right side
    913.83x = 779,472.77
  5. Step 5: Solve for x
    x = 779,472.77/913.83
  6. Step 6: Final answer
    x = 852.97

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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.