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Finding the Fourth Proportional to 984.67, 1,476.75 and 464.53

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Solution

The fourth proportional to 984.67, 1,476.75 and 464.53 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.67 : 1,476.75 = 464.53 : x
  2. Step 2: Convert to fraction form
    984.67/1,476.75 = 464.53/x
  3. Step 3: Cross multiply
    984.67x = 1,476.75 × 464.53
  4. Step 4: Simplify right side
    984.67x = 685,997.55
  5. Step 5: Solve for x
    x = 685,997.55/984.67
  6. Step 6: Final answer
    x = 696.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.