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Finding the Fourth Proportional to 705.65, 1,057.89 and 609.29

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Solution

The fourth proportional to 705.65, 1,057.89 and 609.29 is: 913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.65 : 1,057.89 = 609.29 : x
  2. Step 2: Convert to fraction form
    705.65/1,057.89 = 609.29/x
  3. Step 3: Cross multiply
    705.65x = 1,057.89 × 609.29
  4. Step 4: Simplify right side
    705.65x = 644,562.76
  5. Step 5: Solve for x
    x = 644,562.76/705.65
  6. Step 6: Final answer
    x = 913.44

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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.