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Finding the Fourth Proportional to 960.05, 1,440.53 and 497.58

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Solution

The fourth proportional to 960.05, 1,440.53 and 497.58 is: 746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,440.53 = 497.58 : x
  2. Step 2: Convert to fraction form
    960.05/1,440.53 = 497.58/x
  3. Step 3: Cross multiply
    960.05x = 1,440.53 × 497.58
  4. Step 4: Simplify right side
    960.05x = 716,782.86
  5. Step 5: Solve for x
    x = 716,782.86/960.05
  6. Step 6: Final answer
    x = 746.61

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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.