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Finding the Fourth Proportional to 743.71, 1,026.24 and 412.12

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Solution

The fourth proportional to 743.71, 1,026.24 and 412.12 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.71 : 1,026.24 = 412.12 : x
  2. Step 2: Convert to fraction form
    743.71/1,026.24 = 412.12/x
  3. Step 3: Cross multiply
    743.71x = 1,026.24 × 412.12
  4. Step 4: Simplify right side
    743.71x = 422,934.03
  5. Step 5: Solve for x
    x = 422,934.03/743.71
  6. Step 6: Final answer
    x = 568.68

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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.