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Finding the Fourth Proportional to 927.41, 1,280.12 and 612.95

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Solution

The fourth proportional to 927.41, 1,280.12 and 612.95 is: 846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.41 : 1,280.12 = 612.95 : x
  2. Step 2: Convert to fraction form
    927.41/1,280.12 = 612.95/x
  3. Step 3: Cross multiply
    927.41x = 1,280.12 × 612.95
  4. Step 4: Simplify right side
    927.41x = 784,650.74
  5. Step 5: Solve for x
    x = 784,650.74/927.41
  6. Step 6: Final answer
    x = 846.07

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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.