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Finding the Fourth Proportional to 743.12, 1,025.44 and 411.52

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Solution

The fourth proportional to 743.12, 1,025.44 and 411.52 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.12 : 1,025.44 = 411.52 : x
  2. Step 2: Convert to fraction form
    743.12/1,025.44 = 411.52/x
  3. Step 3: Cross multiply
    743.12x = 1,025.44 × 411.52
  4. Step 4: Simplify right side
    743.12x = 421,989.07
  5. Step 5: Solve for x
    x = 421,989.07/743.12
  6. Step 6: Final answer
    x = 567.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.