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Finding the Fourth Proportional to 1,378.09, 1,901.78 and 788.59

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Solution

The fourth proportional to 1,378.09, 1,901.78 and 788.59 is: 1,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.09 : 1,901.78 = 788.59 : x
  2. Step 2: Convert to fraction form
    1,378.09/1,901.78 = 788.59/x
  3. Step 3: Cross multiply
    1,378.09x = 1,901.78 × 788.59
  4. Step 4: Simplify right side
    1,378.09x = 1,499,724.69
  5. Step 5: Solve for x
    x = 1,499,724.69/1,378.09
  6. Step 6: Final answer
    x = 1,088.26

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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.