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Finding the Fourth Proportional to 1,393.95, 1,924.22 and 897.21

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Solution

The fourth proportional to 1,393.95, 1,924.22 and 897.21 is: 1,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.95 : 1,924.22 = 897.21 : x
  2. Step 2: Convert to fraction form
    1,393.95/1,924.22 = 897.21/x
  3. Step 3: Cross multiply
    1,393.95x = 1,924.22 × 897.21
  4. Step 4: Simplify right side
    1,393.95x = 1,726,429.43
  5. Step 5: Solve for x
    x = 1,726,429.43/1,393.95
  6. Step 6: Final answer
    x = 1,238.52

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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.