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Finding the Fourth Proportional to 835.14, 1,150.47 and 585.99

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Solution

The fourth proportional to 835.14, 1,150.47 and 585.99 is: 807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.14 : 1,150.47 = 585.99 : x
  2. Step 2: Convert to fraction form
    835.14/1,150.47 = 585.99/x
  3. Step 3: Cross multiply
    835.14x = 1,150.47 × 585.99
  4. Step 4: Simplify right side
    835.14x = 674,163.92
  5. Step 5: Solve for x
    x = 674,163.92/835.14
  6. Step 6: Final answer
    x = 807.25

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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.