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Finding the Fourth Proportional to 1,804.45, 2,706.22 and 571.23

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Solution

The fourth proportional to 1,804.45, 2,706.22 and 571.23 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.45 : 2,706.22 = 571.23 : x
  2. Step 2: Convert to fraction form
    1,804.45/2,706.22 = 571.23/x
  3. Step 3: Cross multiply
    1,804.45x = 2,706.22 × 571.23
  4. Step 4: Simplify right side
    1,804.45x = 1,545,874.05
  5. Step 5: Solve for x
    x = 1,545,874.05/1,804.45
  6. Step 6: Final answer
    x = 856.70

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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.