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Finding the Fourth Proportional to 1,270.91, 1,905.21 and 577.21

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Solution

The fourth proportional to 1,270.91, 1,905.21 and 577.21 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.91 : 1,905.21 = 577.21 : x
  2. Step 2: Convert to fraction form
    1,270.91/1,905.21 = 577.21/x
  3. Step 3: Cross multiply
    1,270.91x = 1,905.21 × 577.21
  4. Step 4: Simplify right side
    1,270.91x = 1,099,696.74
  5. Step 5: Solve for x
    x = 1,099,696.74/1,270.91
  6. Step 6: Final answer
    x = 865.28

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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.