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Finding the Fourth Proportional to 1,697.31, 2,546.07 and 464.67

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Solution

The fourth proportional to 1,697.31, 2,546.07 and 464.67 is: 697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.31 : 2,546.07 = 464.67 : x
  2. Step 2: Convert to fraction form
    1,697.31/2,546.07 = 464.67/x
  3. Step 3: Cross multiply
    1,697.31x = 2,546.07 × 464.67
  4. Step 4: Simplify right side
    1,697.31x = 1,183,082.35
  5. Step 5: Solve for x
    x = 1,183,082.35/1,697.31
  6. Step 6: Final answer
    x = 697.03

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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.