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Finding the Fourth Proportional to 1,497.14, 2,065.85 and 833.86

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Solution

The fourth proportional to 1,497.14, 2,065.85 and 833.86 is: 1,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.14 : 2,065.85 = 833.86 : x
  2. Step 2: Convert to fraction form
    1,497.14/2,065.85 = 833.86/x
  3. Step 3: Cross multiply
    1,497.14x = 2,065.85 × 833.86
  4. Step 4: Simplify right side
    1,497.14x = 1,722,629.68
  5. Step 5: Solve for x
    x = 1,722,629.68/1,497.14
  6. Step 6: Final answer
    x = 1,150.61

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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.