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Finding the Fourth Proportional to 864.98, 1,288.73 and 823.70

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Solution

The fourth proportional to 864.98, 1,288.73 and 823.70 is: 1,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.98 : 1,288.73 = 823.70 : x
  2. Step 2: Convert to fraction form
    864.98/1,288.73 = 823.70/x
  3. Step 3: Cross multiply
    864.98x = 1,288.73 × 823.70
  4. Step 4: Simplify right side
    864.98x = 1,061,526.90
  5. Step 5: Solve for x
    x = 1,061,526.90/864.98
  6. Step 6: Final answer
    x = 1,227.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.