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Finding the Fourth Proportional to 743.86, 1,026.08 and 482.03

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Solution

The fourth proportional to 743.86, 1,026.08 and 482.03 is: 664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.86 : 1,026.08 = 482.03 : x
  2. Step 2: Convert to fraction form
    743.86/1,026.08 = 482.03/x
  3. Step 3: Cross multiply
    743.86x = 1,026.08 × 482.03
  4. Step 4: Simplify right side
    743.86x = 494,601.34
  5. Step 5: Solve for x
    x = 494,601.34/743.86
  6. Step 6: Final answer
    x = 664.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.