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Finding the Fourth Proportional to 1,794.48, 2,692.48 and 698.72

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Solution

The fourth proportional to 1,794.48, 2,692.48 and 698.72 is: 1,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.48 : 2,692.48 = 698.72 : x
  2. Step 2: Convert to fraction form
    1,794.48/2,692.48 = 698.72/x
  3. Step 3: Cross multiply
    1,794.48x = 2,692.48 × 698.72
  4. Step 4: Simplify right side
    1,794.48x = 1,881,289.63
  5. Step 5: Solve for x
    x = 1,881,289.63/1,794.48
  6. Step 6: Final answer
    x = 1,048.38

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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.