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Finding the Fourth Proportional to 743.90, 1,026.54 and 412.31

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Solution

The fourth proportional to 743.90, 1,026.54 and 412.31 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.90 : 1,026.54 = 412.31 : x
  2. Step 2: Convert to fraction form
    743.90/1,026.54 = 412.31/x
  3. Step 3: Cross multiply
    743.90x = 1,026.54 × 412.31
  4. Step 4: Simplify right side
    743.90x = 423,247.57
  5. Step 5: Solve for x
    x = 423,247.57/743.90
  6. Step 6: Final answer
    x = 568.96

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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.