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Finding the Fourth Proportional to 1,698.08, 2,546.84 and 465.59

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Solution

The fourth proportional to 1,698.08, 2,546.84 and 465.59 is: 698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.08 : 2,546.84 = 465.59 : x
  2. Step 2: Convert to fraction form
    1,698.08/2,546.84 = 465.59/x
  3. Step 3: Cross multiply
    1,698.08x = 2,546.84 × 465.59
  4. Step 4: Simplify right side
    1,698.08x = 1,185,768.17
  5. Step 5: Solve for x
    x = 1,185,768.17/1,698.08
  6. Step 6: Final answer
    x = 698.30

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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.