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Finding the Fourth Proportional to 1,369.25, 2,053.69 and 444.70

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Solution

The fourth proportional to 1,369.25, 2,053.69 and 444.70 is: 666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.25 : 2,053.69 = 444.70 : x
  2. Step 2: Convert to fraction form
    1,369.25/2,053.69 = 444.70/x
  3. Step 3: Cross multiply
    1,369.25x = 2,053.69 × 444.70
  4. Step 4: Simplify right side
    1,369.25x = 913,269.70
  5. Step 5: Solve for x
    x = 913,269.70/1,369.25
  6. Step 6: Final answer
    x = 666.99

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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.