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Finding the Fourth Proportional to 1,409.37, 1,944.82 and 788.25

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Solution

The fourth proportional to 1,409.37, 1,944.82 and 788.25 is: 1,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.37 : 1,944.82 = 788.25 : x
  2. Step 2: Convert to fraction form
    1,409.37/1,944.82 = 788.25/x
  3. Step 3: Cross multiply
    1,409.37x = 1,944.82 × 788.25
  4. Step 4: Simplify right side
    1,409.37x = 1,533,004.37
  5. Step 5: Solve for x
    x = 1,533,004.37/1,409.37
  6. Step 6: Final answer
    x = 1,087.72

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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.