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Finding the Fourth Proportional to 1,259.87, 1,890.27 and 567.05

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Solution

The fourth proportional to 1,259.87, 1,890.27 and 567.05 is: 850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.87 : 1,890.27 = 567.05 : x
  2. Step 2: Convert to fraction form
    1,259.87/1,890.27 = 567.05/x
  3. Step 3: Cross multiply
    1,259.87x = 1,890.27 × 567.05
  4. Step 4: Simplify right side
    1,259.87x = 1,071,868.15
  5. Step 5: Solve for x
    x = 1,071,868.15/1,259.87
  6. Step 6: Final answer
    x = 850.78

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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.