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Finding the Fourth Proportional to 731.08, 1,009.02 and 451.36

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Solution

The fourth proportional to 731.08, 1,009.02 and 451.36 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.08 : 1,009.02 = 451.36 : x
  2. Step 2: Convert to fraction form
    731.08/1,009.02 = 451.36/x
  3. Step 3: Cross multiply
    731.08x = 1,009.02 × 451.36
  4. Step 4: Simplify right side
    731.08x = 455,431.27
  5. Step 5: Solve for x
    x = 455,431.27/731.08
  6. Step 6: Final answer
    x = 622.96

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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.