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Finding the Fourth Proportional to 985.41, 1,476.18 and 464.67

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Solution

The fourth proportional to 985.41, 1,476.18 and 464.67 is: 696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,476.18 = 464.67 : x
  2. Step 2: Convert to fraction form
    985.41/1,476.18 = 464.67/x
  3. Step 3: Cross multiply
    985.41x = 1,476.18 × 464.67
  4. Step 4: Simplify right side
    985.41x = 685,936.56
  5. Step 5: Solve for x
    x = 685,936.56/985.41
  6. Step 6: Final answer
    x = 696.09

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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.