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Finding the Fourth Proportional to 823.22, 1,133.76 and 761.66

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Solution

The fourth proportional to 823.22, 1,133.76 and 761.66 is: 1,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.22 : 1,133.76 = 761.66 : x
  2. Step 2: Convert to fraction form
    823.22/1,133.76 = 761.66/x
  3. Step 3: Cross multiply
    823.22x = 1,133.76 × 761.66
  4. Step 4: Simplify right side
    823.22x = 863,535.83
  5. Step 5: Solve for x
    x = 863,535.83/823.22
  6. Step 6: Final answer
    x = 1,048.97

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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.