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Finding the Fourth Proportional to 1,369.27, 2,053.71 and 444.84

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Solution

The fourth proportional to 1,369.27, 2,053.71 and 444.84 is: 667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.27 : 2,053.71 = 444.84 : x
  2. Step 2: Convert to fraction form
    1,369.27/2,053.71 = 444.84/x
  3. Step 3: Cross multiply
    1,369.27x = 2,053.71 × 444.84
  4. Step 4: Simplify right side
    1,369.27x = 913,572.36
  5. Step 5: Solve for x
    x = 913,572.36/1,369.27
  6. Step 6: Final answer
    x = 667.20

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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.