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Finding the Fourth Proportional to 927.86, 1,280.46 and 573.84

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Solution

The fourth proportional to 927.86, 1,280.46 and 573.84 is: 791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.86 : 1,280.46 = 573.84 : x
  2. Step 2: Convert to fraction form
    927.86/1,280.46 = 573.84/x
  3. Step 3: Cross multiply
    927.86x = 1,280.46 × 573.84
  4. Step 4: Simplify right side
    927.86x = 734,779.17
  5. Step 5: Solve for x
    x = 734,779.17/927.86
  6. Step 6: Final answer
    x = 791.91

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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.