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Finding the Fourth Proportional to 960.95, 1,443.24 and 598.28

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Solution

The fourth proportional to 960.95, 1,443.24 and 598.28 is: 898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.95 : 1,443.24 = 598.28 : x
  2. Step 2: Convert to fraction form
    960.95/1,443.24 = 598.28/x
  3. Step 3: Cross multiply
    960.95x = 1,443.24 × 598.28
  4. Step 4: Simplify right side
    960.95x = 863,454.41
  5. Step 5: Solve for x
    x = 863,454.41/960.95
  6. Step 6: Final answer
    x = 898.55

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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.