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Finding the Fourth Proportional to 1,290.58, 1,934.82 and 640.96

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Solution

The fourth proportional to 1,290.58, 1,934.82 and 640.96 is: 960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.58 : 1,934.82 = 640.96 : x
  2. Step 2: Convert to fraction form
    1,290.58/1,934.82 = 640.96/x
  3. Step 3: Cross multiply
    1,290.58x = 1,934.82 × 640.96
  4. Step 4: Simplify right side
    1,290.58x = 1,240,142.23
  5. Step 5: Solve for x
    x = 1,240,142.23/1,290.58
  6. Step 6: Final answer
    x = 960.92

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