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Finding the Fourth Proportional to 1,369.62, 2,054.31 and 711.47

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Solution

The fourth proportional to 1,369.62, 2,054.31 and 711.47 is: 1,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.62 : 2,054.31 = 711.47 : x
  2. Step 2: Convert to fraction form
    1,369.62/2,054.31 = 711.47/x
  3. Step 3: Cross multiply
    1,369.62x = 2,054.31 × 711.47
  4. Step 4: Simplify right side
    1,369.62x = 1,461,579.94
  5. Step 5: Solve for x
    x = 1,461,579.94/1,369.62
  6. Step 6: Final answer
    x = 1,067.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.