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Finding the Fourth Proportional to 1,204.90, 1,807.63 and 464.62

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Solution

The fourth proportional to 1,204.90, 1,807.63 and 464.62 is: 697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.90 : 1,807.63 = 464.62 : x
  2. Step 2: Convert to fraction form
    1,204.90/1,807.63 = 464.62/x
  3. Step 3: Cross multiply
    1,204.90x = 1,807.63 × 464.62
  4. Step 4: Simplify right side
    1,204.90x = 839,855.37
  5. Step 5: Solve for x
    x = 839,855.37/1,204.90
  6. Step 6: Final answer
    x = 697.03

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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.