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Finding the Fourth Proportional to 779.54, 1,076.06 and 517.64

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Solution

The fourth proportional to 779.54, 1,076.06 and 517.64 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.54 : 1,076.06 = 517.64 : x
  2. Step 2: Convert to fraction form
    779.54/1,076.06 = 517.64/x
  3. Step 3: Cross multiply
    779.54x = 1,076.06 × 517.64
  4. Step 4: Simplify right side
    779.54x = 557,011.70
  5. Step 5: Solve for x
    x = 557,011.70/779.54
  6. Step 6: Final answer
    x = 714.54

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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.