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Finding the Fourth Proportional to 1,823.28, 2,734.84 and 524.71

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Solution

The fourth proportional to 1,823.28, 2,734.84 and 524.71 is: 787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.28 : 2,734.84 = 524.71 : x
  2. Step 2: Convert to fraction form
    1,823.28/2,734.84 = 524.71/x
  3. Step 3: Cross multiply
    1,823.28x = 2,734.84 × 524.71
  4. Step 4: Simplify right side
    1,823.28x = 1,434,997.90
  5. Step 5: Solve for x
    x = 1,434,997.90/1,823.28
  6. Step 6: Final answer
    x = 787.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.