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Finding the Fourth Proportional to 741.01, 1,109.47 and 374.01

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Solution

The fourth proportional to 741.01, 1,109.47 and 374.01 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.01 : 1,109.47 = 374.01 : x
  2. Step 2: Convert to fraction form
    741.01/1,109.47 = 374.01/x
  3. Step 3: Cross multiply
    741.01x = 1,109.47 × 374.01
  4. Step 4: Simplify right side
    741.01x = 414,945.46
  5. Step 5: Solve for x
    x = 414,945.46/741.01
  6. Step 6: Final answer
    x = 559.97

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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.