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Finding the Fourth Proportional to 743.06, 1,025.37 and 411.48

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Solution

The fourth proportional to 743.06, 1,025.37 and 411.48 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.06 : 1,025.37 = 411.48 : x
  2. Step 2: Convert to fraction form
    743.06/1,025.37 = 411.48/x
  3. Step 3: Cross multiply
    743.06x = 1,025.37 × 411.48
  4. Step 4: Simplify right side
    743.06x = 421,919.25
  5. Step 5: Solve for x
    x = 421,919.25/743.06
  6. Step 6: Final answer
    x = 567.82

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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.