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Finding the Fourth Proportional to 894.52, 1,232.96 and 599.68

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Solution

The fourth proportional to 894.52, 1,232.96 and 599.68 is: 826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,232.96 = 599.68 : x
  2. Step 2: Convert to fraction form
    894.52/1,232.96 = 599.68/x
  3. Step 3: Cross multiply
    894.52x = 1,232.96 × 599.68
  4. Step 4: Simplify right side
    894.52x = 739,381.45
  5. Step 5: Solve for x
    x = 739,381.45/894.52
  6. Step 6: Final answer
    x = 826.57

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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.