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Finding the Fourth Proportional to 1,422.03, 1,962.03 and 897.76

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Solution

The fourth proportional to 1,422.03, 1,962.03 and 897.76 is: 1,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.03 : 1,962.03 = 897.76 : x
  2. Step 2: Convert to fraction form
    1,422.03/1,962.03 = 897.76/x
  3. Step 3: Cross multiply
    1,422.03x = 1,962.03 × 897.76
  4. Step 4: Simplify right side
    1,422.03x = 1,761,432.05
  5. Step 5: Solve for x
    x = 1,761,432.05/1,422.03
  6. Step 6: Final answer
    x = 1,238.67

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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.