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Finding the Fourth Proportional to 556.98, 774.78 and 546.42

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Solution

The fourth proportional to 556.98, 774.78 and 546.42 is: 760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 774.78 = 546.42 : x
  2. Step 2: Convert to fraction form
    556.98/774.78 = 546.42/x
  3. Step 3: Cross multiply
    556.98x = 774.78 × 546.42
  4. Step 4: Simplify right side
    556.98x = 423,352.56
  5. Step 5: Solve for x
    x = 423,352.56/556.98
  6. Step 6: Final answer
    x = 760.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.