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Finding the Fourth Proportional to 743.47, 1,025.95 and 411.87

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Solution

The fourth proportional to 743.47, 1,025.95 and 411.87 is: 568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.47 : 1,025.95 = 411.87 : x
  2. Step 2: Convert to fraction form
    743.47/1,025.95 = 411.87/x
  3. Step 3: Cross multiply
    743.47x = 1,025.95 × 411.87
  4. Step 4: Simplify right side
    743.47x = 422,559.81
  5. Step 5: Solve for x
    x = 422,559.81/743.47
  6. Step 6: Final answer
    x = 568.36

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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.