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Finding the Fourth Proportional to 1,290.07, 1,933.26 and 640.05

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Solution

The fourth proportional to 1,290.07, 1,933.26 and 640.05 is: 959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.07 : 1,933.26 = 640.05 : x
  2. Step 2: Convert to fraction form
    1,290.07/1,933.26 = 640.05/x
  3. Step 3: Cross multiply
    1,290.07x = 1,933.26 × 640.05
  4. Step 4: Simplify right side
    1,290.07x = 1,237,383.06
  5. Step 5: Solve for x
    x = 1,237,383.06/1,290.07
  6. Step 6: Final answer
    x = 959.16

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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.