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Finding the Fourth Proportional to 731.07, 1,008.45 and 451.25

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Solution

The fourth proportional to 731.07, 1,008.45 and 451.25 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.07 : 1,008.45 = 451.25 : x
  2. Step 2: Convert to fraction form
    731.07/1,008.45 = 451.25/x
  3. Step 3: Cross multiply
    731.07x = 1,008.45 × 451.25
  4. Step 4: Simplify right side
    731.07x = 455,058.02
  5. Step 5: Solve for x
    x = 455,058.02/731.07
  6. Step 6: Final answer
    x = 622.45

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