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Finding the Fourth Proportional to 767.78, 1,059.54 and 418.48

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Solution

The fourth proportional to 767.78, 1,059.54 and 418.48 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.78 : 1,059.54 = 418.48 : x
  2. Step 2: Convert to fraction form
    767.78/1,059.54 = 418.48/x
  3. Step 3: Cross multiply
    767.78x = 1,059.54 × 418.48
  4. Step 4: Simplify right side
    767.78x = 443,396.30
  5. Step 5: Solve for x
    x = 443,396.30/767.78
  6. Step 6: Final answer
    x = 577.50

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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.