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Finding the Fourth Proportional to 774.63, 1,069.07 and 577.80

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Solution

The fourth proportional to 774.63, 1,069.07 and 577.80 is: 797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,069.07 = 577.80 : x
  2. Step 2: Convert to fraction form
    774.63/1,069.07 = 577.80/x
  3. Step 3: Cross multiply
    774.63x = 1,069.07 × 577.80
  4. Step 4: Simplify right side
    774.63x = 617,705.76
  5. Step 5: Solve for x
    x = 617,705.76/774.63
  6. Step 6: Final answer
    x = 797.42

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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.