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Finding the Fourth Proportional to 1,270.33, 1,905.14 and 448.16

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Solution

The fourth proportional to 1,270.33, 1,905.14 and 448.16 is: 672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.33 : 1,905.14 = 448.16 : x
  2. Step 2: Convert to fraction form
    1,270.33/1,905.14 = 448.16/x
  3. Step 3: Cross multiply
    1,270.33x = 1,905.14 × 448.16
  4. Step 4: Simplify right side
    1,270.33x = 853,799.14
  5. Step 5: Solve for x
    x = 853,799.14/1,270.33
  6. Step 6: Final answer
    x = 672.11

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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.