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Finding the Fourth Proportional to 823.02, 1,135.78 and 491.46

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Solution

The fourth proportional to 823.02, 1,135.78 and 491.46 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.02 : 1,135.78 = 491.46 : x
  2. Step 2: Convert to fraction form
    823.02/1,135.78 = 491.46/x
  3. Step 3: Cross multiply
    823.02x = 1,135.78 × 491.46
  4. Step 4: Simplify right side
    823.02x = 558,190.44
  5. Step 5: Solve for x
    x = 558,190.44/823.02
  6. Step 6: Final answer
    x = 678.22

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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.