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Finding the Fourth Proportional to 950.76, 1,422.36 and 598.14

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Solution

The fourth proportional to 950.76, 1,422.36 and 598.14 is: 894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,422.36 = 598.14 : x
  2. Step 2: Convert to fraction form
    950.76/1,422.36 = 598.14/x
  3. Step 3: Cross multiply
    950.76x = 1,422.36 × 598.14
  4. Step 4: Simplify right side
    950.76x = 850,770.41
  5. Step 5: Solve for x
    x = 850,770.41/950.76
  6. Step 6: Final answer
    x = 894.83

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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.