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Finding the Fourth Proportional to 1,067.02, 1,597.62 and 834.70

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Solution

The fourth proportional to 1,067.02, 1,597.62 and 834.70 is: 1,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.02 : 1,597.62 = 834.70 : x
  2. Step 2: Convert to fraction form
    1,067.02/1,597.62 = 834.70/x
  3. Step 3: Cross multiply
    1,067.02x = 1,597.62 × 834.70
  4. Step 4: Simplify right side
    1,067.02x = 1,333,533.41
  5. Step 5: Solve for x
    x = 1,333,533.41/1,067.02
  6. Step 6: Final answer
    x = 1,249.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.