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Finding the Fourth Proportional to 1,394.21, 1,924.25 and 897.47

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Solution

The fourth proportional to 1,394.21, 1,924.25 and 897.47 is: 1,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.21 : 1,924.25 = 897.47 : x
  2. Step 2: Convert to fraction form
    1,394.21/1,924.25 = 897.47/x
  3. Step 3: Cross multiply
    1,394.21x = 1,924.25 × 897.47
  4. Step 4: Simplify right side
    1,394.21x = 1,726,949.27
  5. Step 5: Solve for x
    x = 1,726,949.27/1,394.21
  6. Step 6: Final answer
    x = 1,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.