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Finding the Fourth Proportional to 883.95, 1,222.10 and 845.22

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Solution

The fourth proportional to 883.95, 1,222.10 and 845.22 is: 1,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.95 : 1,222.10 = 845.22 : x
  2. Step 2: Convert to fraction form
    883.95/1,222.10 = 845.22/x
  3. Step 3: Cross multiply
    883.95x = 1,222.10 × 845.22
  4. Step 4: Simplify right side
    883.95x = 1,032,943.36
  5. Step 5: Solve for x
    x = 1,032,943.36/883.95
  6. Step 6: Final answer
    x = 1,168.55

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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.