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Finding the Fourth Proportional to 745.29, 1,118.06 and 541.40

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Solution

The fourth proportional to 745.29, 1,118.06 and 541.40 is: 812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.29 : 1,118.06 = 541.40 : x
  2. Step 2: Convert to fraction form
    745.29/1,118.06 = 541.40/x
  3. Step 3: Cross multiply
    745.29x = 1,118.06 × 541.40
  4. Step 4: Simplify right side
    745.29x = 605,309.39
  5. Step 5: Solve for x
    x = 605,309.39/745.29
  6. Step 6: Final answer
    x = 812.18

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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.