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Finding the Fourth Proportional to 743.41, 1,025.96 and 522.41

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Solution

The fourth proportional to 743.41, 1,025.96 and 522.41 is: 720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.41 : 1,025.96 = 522.41 : x
  2. Step 2: Convert to fraction form
    743.41/1,025.96 = 522.41/x
  3. Step 3: Cross multiply
    743.41x = 1,025.96 × 522.41
  4. Step 4: Simplify right side
    743.41x = 535,971.76
  5. Step 5: Solve for x
    x = 535,971.76/743.41
  6. Step 6: Final answer
    x = 720.96

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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.