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Finding the Fourth Proportional to 927.96, 1,280.50 and 535

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Solution

The fourth proportional to 927.96, 1,280.50 and 535 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,280.50 = 535 : x
  2. Step 2: Convert to fraction form
    927.96/1,280.50 = 535/x
  3. Step 3: Cross multiply
    927.96x = 1,280.50 × 535
  4. Step 4: Simplify right side
    927.96x = 685,067.50
  5. Step 5: Solve for x
    x = 685,067.50/927.96
  6. Step 6: Final answer
    x = 738.25

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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.