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Finding the Fourth Proportional to 743.68, 1,026.18 and 412.06

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Solution

The fourth proportional to 743.68, 1,026.18 and 412.06 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.68 : 1,026.18 = 412.06 : x
  2. Step 2: Convert to fraction form
    743.68/1,026.18 = 412.06/x
  3. Step 3: Cross multiply
    743.68x = 1,026.18 × 412.06
  4. Step 4: Simplify right side
    743.68x = 422,847.73
  5. Step 5: Solve for x
    x = 422,847.73/743.68
  6. Step 6: Final answer
    x = 568.59

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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.