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Finding the Fourth Proportional to 1,377.49, 1,900.92 and 788.17

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Solution

The fourth proportional to 1,377.49, 1,900.92 and 788.17 is: 1,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.49 : 1,900.92 = 788.17 : x
  2. Step 2: Convert to fraction form
    1,377.49/1,900.92 = 788.17/x
  3. Step 3: Cross multiply
    1,377.49x = 1,900.92 × 788.17
  4. Step 4: Simplify right side
    1,377.49x = 1,498,248.12
  5. Step 5: Solve for x
    x = 1,498,248.12/1,377.49
  6. Step 6: Final answer
    x = 1,087.67

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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.