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Finding the Fourth Proportional to 1,270.26, 1,905.99 and 577.14

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Solution

The fourth proportional to 1,270.26, 1,905.99 and 577.14 is: 865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.26 : 1,905.99 = 577.14 : x
  2. Step 2: Convert to fraction form
    1,270.26/1,905.99 = 577.14/x
  3. Step 3: Cross multiply
    1,270.26x = 1,905.99 × 577.14
  4. Step 4: Simplify right side
    1,270.26x = 1,100,023.07
  5. Step 5: Solve for x
    x = 1,100,023.07/1,270.26
  6. Step 6: Final answer
    x = 865.98

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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.