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Finding the Fourth Proportional to 677.23, 1,016.80 and 518.94

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Solution

The fourth proportional to 677.23, 1,016.80 and 518.94 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.23 : 1,016.80 = 518.94 : x
  2. Step 2: Convert to fraction form
    677.23/1,016.80 = 518.94/x
  3. Step 3: Cross multiply
    677.23x = 1,016.80 × 518.94
  4. Step 4: Simplify right side
    677.23x = 527,656.89
  5. Step 5: Solve for x
    x = 527,656.89/677.23
  6. Step 6: Final answer
    x = 779.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.