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Finding the Fourth Proportional to 960.86, 1,441.46 and 498.35

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Solution

The fourth proportional to 960.86, 1,441.46 and 498.35 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.86 : 1,441.46 = 498.35 : x
  2. Step 2: Convert to fraction form
    960.86/1,441.46 = 498.35/x
  3. Step 3: Cross multiply
    960.86x = 1,441.46 × 498.35
  4. Step 4: Simplify right side
    960.86x = 718,356.44
  5. Step 5: Solve for x
    x = 718,356.44/960.86
  6. Step 6: Final answer
    x = 747.62

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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.