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Finding the Fourth Proportional to 740.46, 1,021.86 and 460.73

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Solution

The fourth proportional to 740.46, 1,021.86 and 460.73 is: 635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.46 : 1,021.86 = 460.73 : x
  2. Step 2: Convert to fraction form
    740.46/1,021.86 = 460.73/x
  3. Step 3: Cross multiply
    740.46x = 1,021.86 × 460.73
  4. Step 4: Simplify right side
    740.46x = 470,796.45
  5. Step 5: Solve for x
    x = 470,796.45/740.46
  6. Step 6: Final answer
    x = 635.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.