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Finding the Fourth Proportional to 705.19, 1,057.03 and 294.22

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Solution

The fourth proportional to 705.19, 1,057.03 and 294.22 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.19 : 1,057.03 = 294.22 : x
  2. Step 2: Convert to fraction form
    705.19/1,057.03 = 294.22/x
  3. Step 3: Cross multiply
    705.19x = 1,057.03 × 294.22
  4. Step 4: Simplify right side
    705.19x = 310,999.37
  5. Step 5: Solve for x
    x = 310,999.37/705.19
  6. Step 6: Final answer
    x = 441.01

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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.