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Finding the Fourth Proportional to 883.52, 1,322.22 and 709.78

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Solution

The fourth proportional to 883.52, 1,322.22 and 709.78 is: 1,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.52 : 1,322.22 = 709.78 : x
  2. Step 2: Convert to fraction form
    883.52/1,322.22 = 709.78/x
  3. Step 3: Cross multiply
    883.52x = 1,322.22 × 709.78
  4. Step 4: Simplify right side
    883.52x = 938,485.31
  5. Step 5: Solve for x
    x = 938,485.31/883.52
  6. Step 6: Final answer
    x = 1,062.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.