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Finding the Fourth Proportional to 1,697.73, 2,546.49 and 465.04

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Solution

The fourth proportional to 1,697.73, 2,546.49 and 465.04 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.73 : 2,546.49 = 465.04 : x
  2. Step 2: Convert to fraction form
    1,697.73/2,546.49 = 465.04/x
  3. Step 3: Cross multiply
    1,697.73x = 2,546.49 × 465.04
  4. Step 4: Simplify right side
    1,697.73x = 1,184,222.02
  5. Step 5: Solve for x
    x = 1,184,222.02/1,697.73
  6. Step 6: Final answer
    x = 697.53

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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.