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Finding the Fourth Proportional to 1,377.41, 1,900.87 and 788.00

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Solution

The fourth proportional to 1,377.41, 1,900.87 and 788.00 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.41 : 1,900.87 = 788.00 : x
  2. Step 2: Convert to fraction form
    1,377.41/1,900.87 = 788.00/x
  3. Step 3: Cross multiply
    1,377.41x = 1,900.87 × 788.00
  4. Step 4: Simplify right side
    1,377.41x = 1,497,874.09
  5. Step 5: Solve for x
    x = 1,497,874.09/1,377.41
  6. Step 6: Final answer
    x = 1,087.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.