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Finding the Fourth Proportional to 1,270.26, 1,905.66 and 621.36

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Solution

The fourth proportional to 1,270.26, 1,905.66 and 621.36 is: 932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.26 : 1,905.66 = 621.36 : x
  2. Step 2: Convert to fraction form
    1,270.26/1,905.66 = 621.36/x
  3. Step 3: Cross multiply
    1,270.26x = 1,905.66 × 621.36
  4. Step 4: Simplify right side
    1,270.26x = 1,184,100.90
  5. Step 5: Solve for x
    x = 1,184,100.90/1,270.26
  6. Step 6: Final answer
    x = 932.17

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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.