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Finding the Fourth Proportional to 932.98, 1,288.03 and 584.14

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Solution

The fourth proportional to 932.98, 1,288.03 and 584.14 is: 806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.98 : 1,288.03 = 584.14 : x
  2. Step 2: Convert to fraction form
    932.98/1,288.03 = 584.14/x
  3. Step 3: Cross multiply
    932.98x = 1,288.03 × 584.14
  4. Step 4: Simplify right side
    932.98x = 752,383.40
  5. Step 5: Solve for x
    x = 752,383.40/932.98
  6. Step 6: Final answer
    x = 806.43

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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.