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Finding the Fourth Proportional to 927.84, 1,280.16 and 578.88

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Solution

The fourth proportional to 927.84, 1,280.16 and 578.88 is: 798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,280.16 = 578.88 : x
  2. Step 2: Convert to fraction form
    927.84/1,280.16 = 578.88/x
  3. Step 3: Cross multiply
    927.84x = 1,280.16 × 578.88
  4. Step 4: Simplify right side
    927.84x = 741,059.02
  5. Step 5: Solve for x
    x = 741,059.02/927.84
  6. Step 6: Final answer
    x = 798.69

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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.