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Finding the Fourth Proportional to 1,205.37, 1,808.04 and 715.19

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Solution

The fourth proportional to 1,205.37, 1,808.04 and 715.19 is: 1,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.37 : 1,808.04 = 715.19 : x
  2. Step 2: Convert to fraction form
    1,205.37/1,808.04 = 715.19/x
  3. Step 3: Cross multiply
    1,205.37x = 1,808.04 × 715.19
  4. Step 4: Simplify right side
    1,205.37x = 1,293,083.09
  5. Step 5: Solve for x
    x = 1,293,083.09/1,205.37
  6. Step 6: Final answer
    x = 1,072.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.