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Finding the Fourth Proportional to 1,270.36, 1,904.92 and 448.52

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Solution

The fourth proportional to 1,270.36, 1,904.92 and 448.52 is: 672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.36 : 1,904.92 = 448.52 : x
  2. Step 2: Convert to fraction form
    1,270.36/1,904.92 = 448.52/x
  3. Step 3: Cross multiply
    1,270.36x = 1,904.92 × 448.52
  4. Step 4: Simplify right side
    1,270.36x = 854,384.07
  5. Step 5: Solve for x
    x = 854,384.07/1,270.36
  6. Step 6: Final answer
    x = 672.55

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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.