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Finding the Fourth Proportional to 1,422.75, 2,132.67 and 601.50

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Solution

The fourth proportional to 1,422.75, 2,132.67 and 601.50 is: 901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.75 : 2,132.67 = 601.50 : x
  2. Step 2: Convert to fraction form
    1,422.75/2,132.67 = 601.50/x
  3. Step 3: Cross multiply
    1,422.75x = 2,132.67 × 601.50
  4. Step 4: Simplify right side
    1,422.75x = 1,282,801.01
  5. Step 5: Solve for x
    x = 1,282,801.01/1,422.75
  6. Step 6: Final answer
    x = 901.63

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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.