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Finding the Fourth Proportional to 774.84, 1,069.24 and 464.28

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Solution

The fourth proportional to 774.84, 1,069.24 and 464.28 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,069.24 = 464.28 : x
  2. Step 2: Convert to fraction form
    774.84/1,069.24 = 464.28/x
  3. Step 3: Cross multiply
    774.84x = 1,069.24 × 464.28
  4. Step 4: Simplify right side
    774.84x = 496,426.75
  5. Step 5: Solve for x
    x = 496,426.75/774.84
  6. Step 6: Final answer
    x = 640.68

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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.