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Finding the Fourth Proportional to 1,377.72, 1,901.20 and 788.24

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Solution

The fourth proportional to 1,377.72, 1,901.20 and 788.24 is: 1,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.72 : 1,901.20 = 788.24 : x
  2. Step 2: Convert to fraction form
    1,377.72/1,901.20 = 788.24/x
  3. Step 3: Cross multiply
    1,377.72x = 1,901.20 × 788.24
  4. Step 4: Simplify right side
    1,377.72x = 1,498,601.89
  5. Step 5: Solve for x
    x = 1,498,601.89/1,377.72
  6. Step 6: Final answer
    x = 1,087.74

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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.