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Finding the Fourth Proportional to 743.54, 1,026.23 and 428.80

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Solution

The fourth proportional to 743.54, 1,026.23 and 428.80 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.54 : 1,026.23 = 428.80 : x
  2. Step 2: Convert to fraction form
    743.54/1,026.23 = 428.80/x
  3. Step 3: Cross multiply
    743.54x = 1,026.23 × 428.80
  4. Step 4: Simplify right side
    743.54x = 440,044.81
  5. Step 5: Solve for x
    x = 440,044.81/743.54
  6. Step 6: Final answer
    x = 591.82

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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.