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Finding the Fourth Proportional to 774.93, 1,069.07 and 464.25

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Solution

The fourth proportional to 774.93, 1,069.07 and 464.25 is: 640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,069.07 = 464.25 : x
  2. Step 2: Convert to fraction form
    774.93/1,069.07 = 464.25/x
  3. Step 3: Cross multiply
    774.93x = 1,069.07 × 464.25
  4. Step 4: Simplify right side
    774.93x = 496,313.43
  5. Step 5: Solve for x
    x = 496,313.43/774.93
  6. Step 6: Final answer
    x = 640.46

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1.5x scale

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.