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Finding the Fourth Proportional to 767.79, 1,059.56 and 418.47

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Solution

The fourth proportional to 767.79, 1,059.56 and 418.47 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.79 : 1,059.56 = 418.47 : x
  2. Step 2: Convert to fraction form
    767.79/1,059.56 = 418.47/x
  3. Step 3: Cross multiply
    767.79x = 1,059.56 × 418.47
  4. Step 4: Simplify right side
    767.79x = 443,394.07
  5. Step 5: Solve for x
    x = 443,394.07/767.79
  6. Step 6: Final answer
    x = 577.49

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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.