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Finding the Fourth Proportional to 948.84, 1,422.36 and 400.40

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Solution

The fourth proportional to 948.84, 1,422.36 and 400.40 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.84 : 1,422.36 = 400.40 : x
  2. Step 2: Convert to fraction form
    948.84/1,422.36 = 400.40/x
  3. Step 3: Cross multiply
    948.84x = 1,422.36 × 400.40
  4. Step 4: Simplify right side
    948.84x = 569,512.94
  5. Step 5: Solve for x
    x = 569,512.94/948.84
  6. Step 6: Final answer
    x = 600.22

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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.