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Finding the Fourth Proportional to 1,025.99, 1,539.66 and 376.73

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Solution

The fourth proportional to 1,025.99, 1,539.66 and 376.73 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.99 : 1,539.66 = 376.73 : x
  2. Step 2: Convert to fraction form
    1,025.99/1,539.66 = 376.73/x
  3. Step 3: Cross multiply
    1,025.99x = 1,539.66 × 376.73
  4. Step 4: Simplify right side
    1,025.99x = 580,036.11
  5. Step 5: Solve for x
    x = 580,036.11/1,025.99
  6. Step 6: Final answer
    x = 565.34

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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.