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Finding the Fourth Proportional to 842.14, 1,159.64 and 823.47

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Solution

The fourth proportional to 842.14, 1,159.64 and 823.47 is: 1,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.14 : 1,159.64 = 823.47 : x
  2. Step 2: Convert to fraction form
    842.14/1,159.64 = 823.47/x
  3. Step 3: Cross multiply
    842.14x = 1,159.64 × 823.47
  4. Step 4: Simplify right side
    842.14x = 954,923.37
  5. Step 5: Solve for x
    x = 954,923.37/842.14
  6. Step 6: Final answer
    x = 1,133.93

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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.