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Finding the Fourth Proportional to 1,205.09, 1,807.65 and 474.60

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Solution

The fourth proportional to 1,205.09, 1,807.65 and 474.60 is: 711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.09 : 1,807.65 = 474.60 : x
  2. Step 2: Convert to fraction form
    1,205.09/1,807.65 = 474.60/x
  3. Step 3: Cross multiply
    1,205.09x = 1,807.65 × 474.60
  4. Step 4: Simplify right side
    1,205.09x = 857,910.69
  5. Step 5: Solve for x
    x = 857,910.69/1,205.09
  6. Step 6: Final answer
    x = 711.91

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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.