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Finding the Fourth Proportional to 948.42, 1,422.75 and 371.22

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Solution

The fourth proportional to 948.42, 1,422.75 and 371.22 is: 556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,422.75 = 371.22 : x
  2. Step 2: Convert to fraction form
    948.42/1,422.75 = 371.22/x
  3. Step 3: Cross multiply
    948.42x = 1,422.75 × 371.22
  4. Step 4: Simplify right side
    948.42x = 528,158.20
  5. Step 5: Solve for x
    x = 528,158.20/948.42
  6. Step 6: Final answer
    x = 556.88

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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.