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Finding the Fourth Proportional to 740.28, 1,109.20 and 393.08

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Solution

The fourth proportional to 740.28, 1,109.20 and 393.08 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.28 : 1,109.20 = 393.08 : x
  2. Step 2: Convert to fraction form
    740.28/1,109.20 = 393.08/x
  3. Step 3: Cross multiply
    740.28x = 1,109.20 × 393.08
  4. Step 4: Simplify right side
    740.28x = 436,004.34
  5. Step 5: Solve for x
    x = 436,004.34/740.28
  6. Step 6: Final answer
    x = 588.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.