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Finding the Fourth Proportional to 883.72, 1,218.83 and 618.07

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Solution

The fourth proportional to 883.72, 1,218.83 and 618.07 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,218.83 = 618.07 : x
  2. Step 2: Convert to fraction form
    883.72/1,218.83 = 618.07/x
  3. Step 3: Cross multiply
    883.72x = 1,218.83 × 618.07
  4. Step 4: Simplify right side
    883.72x = 753,322.26
  5. Step 5: Solve for x
    x = 753,322.26/883.72
  6. Step 6: Final answer
    x = 852.44

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Why These Related Problems?

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