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Finding the Fourth Proportional to 835.44, 1,151.71 and 599.32

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Solution

The fourth proportional to 835.44, 1,151.71 and 599.32 is: 826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,151.71 = 599.32 : x
  2. Step 2: Convert to fraction form
    835.44/1,151.71 = 599.32/x
  3. Step 3: Cross multiply
    835.44x = 1,151.71 × 599.32
  4. Step 4: Simplify right side
    835.44x = 690,242.84
  5. Step 5: Solve for x
    x = 690,242.84/835.44
  6. Step 6: Final answer
    x = 826.20

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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.