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Finding the Fourth Proportional to 948.35, 1,422.84 and 578.89

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Solution

The fourth proportional to 948.35, 1,422.84 and 578.89 is: 868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.35 : 1,422.84 = 578.89 : x
  2. Step 2: Convert to fraction form
    948.35/1,422.84 = 578.89/x
  3. Step 3: Cross multiply
    948.35x = 1,422.84 × 578.89
  4. Step 4: Simplify right side
    948.35x = 823,664.29
  5. Step 5: Solve for x
    x = 823,664.29/948.35
  6. Step 6: Final answer
    x = 868.53

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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.