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Finding the Fourth Proportional to 934.32, 1,297.82 and 919.44

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Solution

The fourth proportional to 934.32, 1,297.82 and 919.44 is: 1,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.32 : 1,297.82 = 919.44 : x
  2. Step 2: Convert to fraction form
    934.32/1,297.82 = 919.44/x
  3. Step 3: Cross multiply
    934.32x = 1,297.82 × 919.44
  4. Step 4: Simplify right side
    934.32x = 1,193,267.62
  5. Step 5: Solve for x
    x = 1,193,267.62/934.32
  6. Step 6: Final answer
    x = 1,277.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.