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Finding the Fourth Proportional to 774.98, 1,069.07 and 512.54

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Solution

The fourth proportional to 774.98, 1,069.07 and 512.54 is: 707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,069.07 = 512.54 : x
  2. Step 2: Convert to fraction form
    774.98/1,069.07 = 512.54/x
  3. Step 3: Cross multiply
    774.98x = 1,069.07 × 512.54
  4. Step 4: Simplify right side
    774.98x = 547,933.23
  5. Step 5: Solve for x
    x = 547,933.23/774.98
  6. Step 6: Final answer
    x = 707.03

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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.