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Finding the Fourth Proportional to 984.55, 1,477.12 and 464.95

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Solution

The fourth proportional to 984.55, 1,477.12 and 464.95 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.55 : 1,477.12 = 464.95 : x
  2. Step 2: Convert to fraction form
    984.55/1,477.12 = 464.95/x
  3. Step 3: Cross multiply
    984.55x = 1,477.12 × 464.95
  4. Step 4: Simplify right side
    984.55x = 686,783.83
  5. Step 5: Solve for x
    x = 686,783.83/984.55
  6. Step 6: Final answer
    x = 697.56

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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.