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Finding the Fourth Proportional to 927.93, 1,280.87 and 535.11

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Solution

The fourth proportional to 927.93, 1,280.87 and 535.11 is: 738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.93 : 1,280.87 = 535.11 : x
  2. Step 2: Convert to fraction form
    927.93/1,280.87 = 535.11/x
  3. Step 3: Cross multiply
    927.93x = 1,280.87 × 535.11
  4. Step 4: Simplify right side
    927.93x = 685,403.67
  5. Step 5: Solve for x
    x = 685,403.67/927.93
  6. Step 6: Final answer
    x = 738.64

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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.