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Finding the Fourth Proportional to 739.89, 1,021.42 and 460.22

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Solution

The fourth proportional to 739.89, 1,021.42 and 460.22 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.89 : 1,021.42 = 460.22 : x
  2. Step 2: Convert to fraction form
    739.89/1,021.42 = 460.22/x
  3. Step 3: Cross multiply
    739.89x = 1,021.42 × 460.22
  4. Step 4: Simplify right side
    739.89x = 470,076.51
  5. Step 5: Solve for x
    x = 470,076.51/739.89
  6. Step 6: Final answer
    x = 635.33

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Double scale
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1.5x scale

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.