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Finding the Fourth Proportional to 984.74, 1,477.26 and 464.72

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Solution

The fourth proportional to 984.74, 1,477.26 and 464.72 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.74 : 1,477.26 = 464.72 : x
  2. Step 2: Convert to fraction form
    984.74/1,477.26 = 464.72/x
  3. Step 3: Cross multiply
    984.74x = 1,477.26 × 464.72
  4. Step 4: Simplify right side
    984.74x = 686,512.27
  5. Step 5: Solve for x
    x = 686,512.27/984.74
  6. Step 6: Final answer
    x = 697.15

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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.