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Finding the Fourth Proportional to 743, 1,113.42 and 417.92

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Solution

The fourth proportional to 743, 1,113.42 and 417.92 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    743 : 1,113.42 = 417.92 : x
  2. Step 2: Convert to fraction form
    743/1,113.42 = 417.92/x
  3. Step 3: Cross multiply
    743x = 1,113.42 × 417.92
  4. Step 4: Simplify right side
    743x = 465,320.49
  5. Step 5: Solve for x
    x = 465,320.49/743
  6. Step 6: Final answer
    x = 626.27

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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.