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Finding the Fourth Proportional to 932.76, 1,287.78 and 583.92

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Solution

The fourth proportional to 932.76, 1,287.78 and 583.92 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.76 : 1,287.78 = 583.92 : x
  2. Step 2: Convert to fraction form
    932.76/1,287.78 = 583.92/x
  3. Step 3: Cross multiply
    932.76x = 1,287.78 × 583.92
  4. Step 4: Simplify right side
    932.76x = 751,960.50
  5. Step 5: Solve for x
    x = 751,960.50/932.76
  6. Step 6: Final answer
    x = 806.17

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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.