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Finding the Fourth Proportional to 600.52, 896.43 and 527.62

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Solution

The fourth proportional to 600.52, 896.43 and 527.62 is: 787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 896.43 = 527.62 : x
  2. Step 2: Convert to fraction form
    600.52/896.43 = 527.62/x
  3. Step 3: Cross multiply
    600.52x = 896.43 × 527.62
  4. Step 4: Simplify right side
    600.52x = 472,974.40
  5. Step 5: Solve for x
    x = 472,974.40/600.52
  6. Step 6: Final answer
    x = 787.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.