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Finding the Fourth Proportional to 774.06, 1,069.38 and 577.24

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Solution

The fourth proportional to 774.06, 1,069.38 and 577.24 is: 797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,069.38 = 577.24 : x
  2. Step 2: Convert to fraction form
    774.06/1,069.38 = 577.24/x
  3. Step 3: Cross multiply
    774.06x = 1,069.38 × 577.24
  4. Step 4: Simplify right side
    774.06x = 617,288.91
  5. Step 5: Solve for x
    x = 617,288.91/774.06
  6. Step 6: Final answer
    x = 797.47

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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.