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Finding the Fourth Proportional to 1,377.69, 1,900.98 and 788.10

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Solution

The fourth proportional to 1,377.69, 1,900.98 and 788.10 is: 1,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.69 : 1,900.98 = 788.10 : x
  2. Step 2: Convert to fraction form
    1,377.69/1,900.98 = 788.10/x
  3. Step 3: Cross multiply
    1,377.69x = 1,900.98 × 788.10
  4. Step 4: Simplify right side
    1,377.69x = 1,498,162.34
  5. Step 5: Solve for x
    x = 1,498,162.34/1,377.69
  6. Step 6: Final answer
    x = 1,087.45

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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.