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Finding the Fourth Proportional to 1,409.91, 1,945.67 and 788.91

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Solution

The fourth proportional to 1,409.91, 1,945.67 and 788.91 is: 1,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.91 : 1,945.67 = 788.91 : x
  2. Step 2: Convert to fraction form
    1,409.91/1,945.67 = 788.91/x
  3. Step 3: Cross multiply
    1,409.91x = 1,945.67 × 788.91
  4. Step 4: Simplify right side
    1,409.91x = 1,534,951.72
  5. Step 5: Solve for x
    x = 1,534,951.72/1,409.91
  6. Step 6: Final answer
    x = 1,088.69

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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.