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Finding the Fourth Proportional to 774.94, 1,069.89 and 509.80

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Solution

The fourth proportional to 774.94, 1,069.89 and 509.80 is: 703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.94 : 1,069.89 = 509.80 : x
  2. Step 2: Convert to fraction form
    774.94/1,069.89 = 509.80/x
  3. Step 3: Cross multiply
    774.94x = 1,069.89 × 509.80
  4. Step 4: Simplify right side
    774.94x = 545,427.37
  5. Step 5: Solve for x
    x = 545,427.37/774.94
  6. Step 6: Final answer
    x = 703.83

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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.