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Finding the Fourth Proportional to 1,289.79, 1,933.70 and 640.02

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Solution

The fourth proportional to 1,289.79, 1,933.70 and 640.02 is: 959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.79 : 1,933.70 = 640.02 : x
  2. Step 2: Convert to fraction form
    1,289.79/1,933.70 = 640.02/x
  3. Step 3: Cross multiply
    1,289.79x = 1,933.70 × 640.02
  4. Step 4: Simplify right side
    1,289.79x = 1,237,603.47
  5. Step 5: Solve for x
    x = 1,237,603.47/1,289.79
  6. Step 6: Final answer
    x = 959.54

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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.