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Finding the Fourth Proportional to 1,422.09, 1,962.63 and 897.75

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Solution

The fourth proportional to 1,422.09, 1,962.63 and 897.75 is: 1,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.09 : 1,962.63 = 897.75 : x
  2. Step 2: Convert to fraction form
    1,422.09/1,962.63 = 897.75/x
  3. Step 3: Cross multiply
    1,422.09x = 1,962.63 × 897.75
  4. Step 4: Simplify right side
    1,422.09x = 1,761,951.08
  5. Step 5: Solve for x
    x = 1,761,951.08/1,422.09
  6. Step 6: Final answer
    x = 1,238.99

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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.