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Finding the Fourth Proportional to 1,377.92, 1,901.42 and 788.32

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Solution

The fourth proportional to 1,377.92, 1,901.42 and 788.32 is: 1,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.92 : 1,901.42 = 788.32 : x
  2. Step 2: Convert to fraction form
    1,377.92/1,901.42 = 788.32/x
  3. Step 3: Cross multiply
    1,377.92x = 1,901.42 × 788.32
  4. Step 4: Simplify right side
    1,377.92x = 1,498,927.41
  5. Step 5: Solve for x
    x = 1,498,927.41/1,377.92
  6. Step 6: Final answer
    x = 1,087.82

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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.