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Finding the Fourth Proportional to 1,470.36, 2,205.44 and 374.73

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Solution

The fourth proportional to 1,470.36, 2,205.44 and 374.73 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.36 : 2,205.44 = 374.73 : x
  2. Step 2: Convert to fraction form
    1,470.36/2,205.44 = 374.73/x
  3. Step 3: Cross multiply
    1,470.36x = 2,205.44 × 374.73
  4. Step 4: Simplify right side
    1,470.36x = 826,442.66
  5. Step 5: Solve for x
    x = 826,442.66/1,470.36
  6. Step 6: Final answer
    x = 562.07

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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.