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Finding the Fourth Proportional to 1,377.40, 2,065.98 and 799.96

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Solution

The fourth proportional to 1,377.40, 2,065.98 and 799.96 is: 1,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.40 : 2,065.98 = 799.96 : x
  2. Step 2: Convert to fraction form
    1,377.40/2,065.98 = 799.96/x
  3. Step 3: Cross multiply
    1,377.40x = 2,065.98 × 799.96
  4. Step 4: Simplify right side
    1,377.40x = 1,652,701.36
  5. Step 5: Solve for x
    x = 1,652,701.36/1,377.40
  6. Step 6: Final answer
    x = 1,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.