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Finding the Fourth Proportional to 1,378.99, 1,904.66 and 1,005.37

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Solution

The fourth proportional to 1,378.99, 1,904.66 and 1,005.37 is: 1,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.99 : 1,904.66 = 1,005.37 : x
  2. Step 2: Convert to fraction form
    1,378.99/1,904.66 = 1,005.37/x
  3. Step 3: Cross multiply
    1,378.99x = 1,904.66 × 1,005.37
  4. Step 4: Simplify right side
    1,378.99x = 1,914,888.02
  5. Step 5: Solve for x
    x = 1,914,888.02/1,378.99
  6. Step 6: Final answer
    x = 1,388.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.