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Finding the Fourth Proportional to 1,270.35, 1,905.93 and 449.15

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Solution

The fourth proportional to 1,270.35, 1,905.93 and 449.15 is: 673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.35 : 1,905.93 = 449.15 : x
  2. Step 2: Convert to fraction form
    1,270.35/1,905.93 = 449.15/x
  3. Step 3: Cross multiply
    1,270.35x = 1,905.93 × 449.15
  4. Step 4: Simplify right side
    1,270.35x = 856,038.93
  5. Step 5: Solve for x
    x = 856,038.93/1,270.35
  6. Step 6: Final answer
    x = 673.86

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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.