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Finding the Fourth Proportional to 1,376.85, 1,900.01 and 809.84

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Solution

The fourth proportional to 1,376.85, 1,900.01 and 809.84 is: 1,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.85 : 1,900.01 = 809.84 : x
  2. Step 2: Convert to fraction form
    1,376.85/1,900.01 = 809.84/x
  3. Step 3: Cross multiply
    1,376.85x = 1,900.01 × 809.84
  4. Step 4: Simplify right side
    1,376.85x = 1,538,690.55
  5. Step 5: Solve for x
    x = 1,538,690.55/1,376.85
  6. Step 6: Final answer
    x = 1,117.54

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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.