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Finding the Fourth Proportional to 1,395.05, 2,092.90 and 470.59

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Solution

The fourth proportional to 1,395.05, 2,092.90 and 470.59 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.05 : 2,092.90 = 470.59 : x
  2. Step 2: Convert to fraction form
    1,395.05/2,092.90 = 470.59/x
  3. Step 3: Cross multiply
    1,395.05x = 2,092.90 × 470.59
  4. Step 4: Simplify right side
    1,395.05x = 984,891.40
  5. Step 5: Solve for x
    x = 984,891.40/1,395.05
  6. Step 6: Final answer
    x = 705.99

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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.