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Finding the Fourth Proportional to 1,422.77, 2,133.74 and 601.63

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Solution

The fourth proportional to 1,422.77, 2,133.74 and 601.63 is: 902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.77 : 2,133.74 = 601.63 : x
  2. Step 2: Convert to fraction form
    1,422.77/2,133.74 = 601.63/x
  3. Step 3: Cross multiply
    1,422.77x = 2,133.74 × 601.63
  4. Step 4: Simplify right side
    1,422.77x = 1,283,718.17
  5. Step 5: Solve for x
    x = 1,283,718.17/1,422.77
  6. Step 6: Final answer
    x = 902.27

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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.