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Finding the Fourth Proportional to 984.84, 1,477.16 and 464.68

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Solution

The fourth proportional to 984.84, 1,477.16 and 464.68 is: 696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,477.16 = 464.68 : x
  2. Step 2: Convert to fraction form
    984.84/1,477.16 = 464.68/x
  3. Step 3: Cross multiply
    984.84x = 1,477.16 × 464.68
  4. Step 4: Simplify right side
    984.84x = 686,406.71
  5. Step 5: Solve for x
    x = 686,406.71/984.84
  6. Step 6: Final answer
    x = 696.97

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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.