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Finding the Fourth Proportional to 1,395.04, 2,092.40 and 470.56

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Solution

The fourth proportional to 1,395.04, 2,092.40 and 470.56 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.04 : 2,092.40 = 470.56 : x
  2. Step 2: Convert to fraction form
    1,395.04/2,092.40 = 470.56/x
  3. Step 3: Cross multiply
    1,395.04x = 2,092.40 × 470.56
  4. Step 4: Simplify right side
    1,395.04x = 984,599.74
  5. Step 5: Solve for x
    x = 984,599.74/1,395.04
  6. Step 6: Final answer
    x = 705.79

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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.