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Finding the Fourth Proportional to 948.27, 1,422.39 and 428.51

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Solution

The fourth proportional to 948.27, 1,422.39 and 428.51 is: 642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,422.39 = 428.51 : x
  2. Step 2: Convert to fraction form
    948.27/1,422.39 = 428.51/x
  3. Step 3: Cross multiply
    948.27x = 1,422.39 × 428.51
  4. Step 4: Simplify right side
    948.27x = 609,501.23
  5. Step 5: Solve for x
    x = 609,501.23/948.27
  6. Step 6: Final answer
    x = 642.75

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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.