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Finding the Fourth Proportional to 743.58, 1,026.20 and 412.07

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Solution

The fourth proportional to 743.58, 1,026.20 and 412.07 is: 568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.58 : 1,026.20 = 412.07 : x
  2. Step 2: Convert to fraction form
    743.58/1,026.20 = 412.07/x
  3. Step 3: Cross multiply
    743.58x = 1,026.20 × 412.07
  4. Step 4: Simplify right side
    743.58x = 422,867.91
  5. Step 5: Solve for x
    x = 422,867.91/743.58
  6. Step 6: Final answer
    x = 568.69

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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.