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Finding the Fourth Proportional to 1,497.87, 2,067.08 and 834.75

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Solution

The fourth proportional to 1,497.87, 2,067.08 and 834.75 is: 1,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.87 : 2,067.08 = 834.75 : x
  2. Step 2: Convert to fraction form
    1,497.87/2,067.08 = 834.75/x
  3. Step 3: Cross multiply
    1,497.87x = 2,067.08 × 834.75
  4. Step 4: Simplify right side
    1,497.87x = 1,725,490.86
  5. Step 5: Solve for x
    x = 1,725,490.86/1,497.87
  6. Step 6: Final answer
    x = 1,151.96

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1.5x scale

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.