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Finding the Fourth Proportional to 864.73, 1,186.40 and 823.42

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Solution

The fourth proportional to 864.73, 1,186.40 and 823.42 is: 1,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.73 : 1,186.40 = 823.42 : x
  2. Step 2: Convert to fraction form
    864.73/1,186.40 = 823.42/x
  3. Step 3: Cross multiply
    864.73x = 1,186.40 × 823.42
  4. Step 4: Simplify right side
    864.73x = 976,905.49
  5. Step 5: Solve for x
    x = 976,905.49/864.73
  6. Step 6: Final answer
    x = 1,129.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.