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Finding the Fourth Proportional to 936.96, 1,292.84 and 582.98

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Solution

The fourth proportional to 936.96, 1,292.84 and 582.98 is: 804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,292.84 = 582.98 : x
  2. Step 2: Convert to fraction form
    936.96/1,292.84 = 582.98/x
  3. Step 3: Cross multiply
    936.96x = 1,292.84 × 582.98
  4. Step 4: Simplify right side
    936.96x = 753,690.48
  5. Step 5: Solve for x
    x = 753,690.48/936.96
  6. Step 6: Final answer
    x = 804.40

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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.