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Finding the Fourth Proportional to 832.88, 1,149.46 and 600.14

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Solution

The fourth proportional to 832.88, 1,149.46 and 600.14 is: 828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,149.46 = 600.14 : x
  2. Step 2: Convert to fraction form
    832.88/1,149.46 = 600.14/x
  3. Step 3: Cross multiply
    832.88x = 1,149.46 × 600.14
  4. Step 4: Simplify right side
    832.88x = 689,836.92
  5. Step 5: Solve for x
    x = 689,836.92/832.88
  6. Step 6: Final answer
    x = 828.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.