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Finding the Fourth Proportional to 885.52, 1,222.28 and 653.32

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Solution

The fourth proportional to 885.52, 1,222.28 and 653.32 is: 901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.52 : 1,222.28 = 653.32 : x
  2. Step 2: Convert to fraction form
    885.52/1,222.28 = 653.32/x
  3. Step 3: Cross multiply
    885.52x = 1,222.28 × 653.32
  4. Step 4: Simplify right side
    885.52x = 798,539.97
  5. Step 5: Solve for x
    x = 798,539.97/885.52
  6. Step 6: Final answer
    x = 901.78

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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.