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Finding the Fourth Proportional to 960.54, 1,440.78 and 498.16

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Solution

The fourth proportional to 960.54, 1,440.78 and 498.16 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.54 : 1,440.78 = 498.16 : x
  2. Step 2: Convert to fraction form
    960.54/1,440.78 = 498.16/x
  3. Step 3: Cross multiply
    960.54x = 1,440.78 × 498.16
  4. Step 4: Simplify right side
    960.54x = 717,738.96
  5. Step 5: Solve for x
    x = 717,738.96/960.54
  6. Step 6: Final answer
    x = 747.22

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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.