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Finding the Fourth Proportional to 1,204.61, 1,807.37 and 474.69

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Solution

The fourth proportional to 1,204.61, 1,807.37 and 474.69 is: 712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.61 : 1,807.37 = 474.69 : x
  2. Step 2: Convert to fraction form
    1,204.61/1,807.37 = 474.69/x
  3. Step 3: Cross multiply
    1,204.61x = 1,807.37 × 474.69
  4. Step 4: Simplify right side
    1,204.61x = 857,938.09
  5. Step 5: Solve for x
    x = 857,938.09/1,204.61
  6. Step 6: Final answer
    x = 712.22

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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.