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Finding the Fourth Proportional to 731.01, 1,008.23 and 436.22

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Solution

The fourth proportional to 731.01, 1,008.23 and 436.22 is: 601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.01 : 1,008.23 = 436.22 : x
  2. Step 2: Convert to fraction form
    731.01/1,008.23 = 436.22/x
  3. Step 3: Cross multiply
    731.01x = 1,008.23 × 436.22
  4. Step 4: Simplify right side
    731.01x = 439,802.87
  5. Step 5: Solve for x
    x = 439,802.87/731.01
  6. Step 6: Final answer
    x = 601.64

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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.