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Finding the Fourth Proportional to 779.21, 1,074.72 and 551.99

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Solution

The fourth proportional to 779.21, 1,074.72 and 551.99 is: 761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.21 : 1,074.72 = 551.99 : x
  2. Step 2: Convert to fraction form
    779.21/1,074.72 = 551.99/x
  3. Step 3: Cross multiply
    779.21x = 1,074.72 × 551.99
  4. Step 4: Simplify right side
    779.21x = 593,239.45
  5. Step 5: Solve for x
    x = 593,239.45/779.21
  6. Step 6: Final answer
    x = 761.34

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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.