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Finding the Fourth Proportional to 743.84, 1,026.49 and 412.27

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Solution

The fourth proportional to 743.84, 1,026.49 and 412.27 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.84 : 1,026.49 = 412.27 : x
  2. Step 2: Convert to fraction form
    743.84/1,026.49 = 412.27/x
  3. Step 3: Cross multiply
    743.84x = 1,026.49 × 412.27
  4. Step 4: Simplify right side
    743.84x = 423,191.03
  5. Step 5: Solve for x
    x = 423,191.03/743.84
  6. Step 6: Final answer
    x = 568.93

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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.