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Finding the Fourth Proportional to 1,377.58, 1,901.24 and 788.14

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Solution

The fourth proportional to 1,377.58, 1,901.24 and 788.14 is: 1,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.58 : 1,901.24 = 788.14 : x
  2. Step 2: Convert to fraction form
    1,377.58/1,901.24 = 788.14/x
  3. Step 3: Cross multiply
    1,377.58x = 1,901.24 × 788.14
  4. Step 4: Simplify right side
    1,377.58x = 1,498,443.29
  5. Step 5: Solve for x
    x = 1,498,443.29/1,377.58
  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.