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Finding the Fourth Proportional to 743.72, 1,026.32 and 412.14

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Solution

The fourth proportional to 743.72, 1,026.32 and 412.14 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.72 : 1,026.32 = 412.14 : x
  2. Step 2: Convert to fraction form
    743.72/1,026.32 = 412.14/x
  3. Step 3: Cross multiply
    743.72x = 1,026.32 × 412.14
  4. Step 4: Simplify right side
    743.72x = 422,985.46
  5. Step 5: Solve for x
    x = 422,985.46/743.72
  6. Step 6: Final answer
    x = 568.74

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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.