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Finding the Fourth Proportional to 885.47, 1,216.81 and 844.81

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Solution

The fourth proportional to 885.47, 1,216.81 and 844.81 is: 1,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,216.81 = 844.81 : x
  2. Step 2: Convert to fraction form
    885.47/1,216.81 = 844.81/x
  3. Step 3: Cross multiply
    885.47x = 1,216.81 × 844.81
  4. Step 4: Simplify right side
    885.47x = 1,027,978.11
  5. Step 5: Solve for x
    x = 1,027,978.11/885.47
  6. Step 6: Final answer
    x = 1,160.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.