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Finding the Fourth Proportional to 743.58, 1,026.14 and 411.99

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Solution

The fourth proportional to 743.58, 1,026.14 and 411.99 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.58 : 1,026.14 = 411.99 : x
  2. Step 2: Convert to fraction form
    743.58/1,026.14 = 411.99/x
  3. Step 3: Cross multiply
    743.58x = 1,026.14 × 411.99
  4. Step 4: Simplify right side
    743.58x = 422,759.42
  5. Step 5: Solve for x
    x = 422,759.42/743.58
  6. Step 6: Final answer
    x = 568.55

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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.