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Finding the Fourth Proportional to 774.81, 1,069.25 and 464.31

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Solution

The fourth proportional to 774.81, 1,069.25 and 464.31 is: 640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.81 : 1,069.25 = 464.31 : x
  2. Step 2: Convert to fraction form
    774.81/1,069.25 = 464.31/x
  3. Step 3: Cross multiply
    774.81x = 1,069.25 × 464.31
  4. Step 4: Simplify right side
    774.81x = 496,463.47
  5. Step 5: Solve for x
    x = 496,463.47/774.81
  6. Step 6: Final answer
    x = 640.76

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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.