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Finding the Fourth Proportional to 1,865.40, 2,796.78 and 770.28

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Solution

The fourth proportional to 1,865.40, 2,796.78 and 770.28 is: 1,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.40 : 2,796.78 = 770.28 : x
  2. Step 2: Convert to fraction form
    1,865.40/2,796.78 = 770.28/x
  3. Step 3: Cross multiply
    1,865.40x = 2,796.78 × 770.28
  4. Step 4: Simplify right side
    1,865.40x = 2,154,303.70
  5. Step 5: Solve for x
    x = 2,154,303.70/1,865.40
  6. Step 6: Final answer
    x = 1,154.87

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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.