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Finding the Fourth Proportional to 1,698.10, 2,546.69 and 465.21

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Solution

The fourth proportional to 1,698.10, 2,546.69 and 465.21 is: 697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.10 : 2,546.69 = 465.21 : x
  2. Step 2: Convert to fraction form
    1,698.10/2,546.69 = 465.21/x
  3. Step 3: Cross multiply
    1,698.10x = 2,546.69 × 465.21
  4. Step 4: Simplify right side
    1,698.10x = 1,184,745.95
  5. Step 5: Solve for x
    x = 1,184,745.95/1,698.10
  6. Step 6: Final answer
    x = 697.69

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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.