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Finding the Fourth Proportional to 1,205.54, 1,806.82 and 711.45

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Solution

The fourth proportional to 1,205.54, 1,806.82 and 711.45 is: 1,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.54 : 1,806.82 = 711.45 : x
  2. Step 2: Convert to fraction form
    1,205.54/1,806.82 = 711.45/x
  3. Step 3: Cross multiply
    1,205.54x = 1,806.82 × 711.45
  4. Step 4: Simplify right side
    1,205.54x = 1,285,460.77
  5. Step 5: Solve for x
    x = 1,285,460.77/1,205.54
  6. Step 6: Final answer
    x = 1,066.29

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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.