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Finding the Fourth Proportional to 1,736.42, 2,604.62 and 437.90

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Solution

The fourth proportional to 1,736.42, 2,604.62 and 437.90 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.42 : 2,604.62 = 437.90 : x
  2. Step 2: Convert to fraction form
    1,736.42/2,604.62 = 437.90/x
  3. Step 3: Cross multiply
    1,736.42x = 2,604.62 × 437.90
  4. Step 4: Simplify right side
    1,736.42x = 1,140,563.10
  5. Step 5: Solve for x
    x = 1,140,563.10/1,736.42
  6. Step 6: Final answer
    x = 656.85

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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.