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Finding the Fourth Proportional to 743.51, 1,105.90 and 741

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Solution

The fourth proportional to 743.51, 1,105.90 and 741 is: 1,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.51 : 1,105.90 = 741 : x
  2. Step 2: Convert to fraction form
    743.51/1,105.90 = 741/x
  3. Step 3: Cross multiply
    743.51x = 1,105.90 × 741
  4. Step 4: Simplify right side
    743.51x = 819,471.90
  5. Step 5: Solve for x
    x = 819,471.90/743.51
  6. Step 6: Final answer
    x = 1,102.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.