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Finding the Fourth Proportional to 1,072.08, 1,478.48 and 823.41

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Solution

The fourth proportional to 1,072.08, 1,478.48 and 823.41 is: 1,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.08 : 1,478.48 = 823.41 : x
  2. Step 2: Convert to fraction form
    1,072.08/1,478.48 = 823.41/x
  3. Step 3: Cross multiply
    1,072.08x = 1,478.48 × 823.41
  4. Step 4: Simplify right side
    1,072.08x = 1,217,389.46
  5. Step 5: Solve for x
    x = 1,217,389.46/1,072.08
  6. Step 6: Final answer
    x = 1,135.54

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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.