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Finding the Fourth Proportional to 743.48, 1,026.04 and 411.92

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Solution

The fourth proportional to 743.48, 1,026.04 and 411.92 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,026.04 = 411.92 : x
  2. Step 2: Convert to fraction form
    743.48/1,026.04 = 411.92/x
  3. Step 3: Cross multiply
    743.48x = 1,026.04 × 411.92
  4. Step 4: Simplify right side
    743.48x = 422,646.40
  5. Step 5: Solve for x
    x = 422,646.40/743.48
  6. Step 6: Final answer
    x = 568.47

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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.