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Finding the Fourth Proportional to 885.58, 1,325.22 and 538.78

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Solution

The fourth proportional to 885.58, 1,325.22 and 538.78 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.58 : 1,325.22 = 538.78 : x
  2. Step 2: Convert to fraction form
    885.58/1,325.22 = 538.78/x
  3. Step 3: Cross multiply
    885.58x = 1,325.22 × 538.78
  4. Step 4: Simplify right side
    885.58x = 714,002.03
  5. Step 5: Solve for x
    x = 714,002.03/885.58
  6. Step 6: Final answer
    x = 806.25

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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.