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Finding the Fourth Proportional to 948.18, 1,422.42 and 400.52

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Solution

The fourth proportional to 948.18, 1,422.42 and 400.52 is: 600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.18 : 1,422.42 = 400.52 : x
  2. Step 2: Convert to fraction form
    948.18/1,422.42 = 400.52/x
  3. Step 3: Cross multiply
    948.18x = 1,422.42 × 400.52
  4. Step 4: Simplify right side
    948.18x = 569,707.66
  5. Step 5: Solve for x
    x = 569,707.66/948.18
  6. Step 6: Final answer
    x = 600.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.