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Finding the Fourth Proportional to 885.08, 1,324.56 and 538.22

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Solution

The fourth proportional to 885.08, 1,324.56 and 538.22 is: 805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.08 : 1,324.56 = 538.22 : x
  2. Step 2: Convert to fraction form
    885.08/1,324.56 = 538.22/x
  3. Step 3: Cross multiply
    885.08x = 1,324.56 × 538.22
  4. Step 4: Simplify right side
    885.08x = 712,904.68
  5. Step 5: Solve for x
    x = 712,904.68/885.08
  6. Step 6: Final answer
    x = 805.47

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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.