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Finding the Fourth Proportional to 1,205.43, 1,808.15 and 474.61

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Solution

The fourth proportional to 1,205.43, 1,808.15 and 474.61 is: 711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.43 : 1,808.15 = 474.61 : x
  2. Step 2: Convert to fraction form
    1,205.43/1,808.15 = 474.61/x
  3. Step 3: Cross multiply
    1,205.43x = 1,808.15 × 474.61
  4. Step 4: Simplify right side
    1,205.43x = 858,166.07
  5. Step 5: Solve for x
    x = 858,166.07/1,205.43
  6. Step 6: Final answer
    x = 711.92

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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.