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Finding the Fourth Proportional to 1,270.59, 1,905.53 and 490.66

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Solution

The fourth proportional to 1,270.59, 1,905.53 and 490.66 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.59 : 1,905.53 = 490.66 : x
  2. Step 2: Convert to fraction form
    1,270.59/1,905.53 = 490.66/x
  3. Step 3: Cross multiply
    1,270.59x = 1,905.53 × 490.66
  4. Step 4: Simplify right side
    1,270.59x = 934,960.13
  5. Step 5: Solve for x
    x = 934,960.13/1,270.59
  6. Step 6: Final answer
    x = 735.85

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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.