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Finding the Fourth Proportional to 1,699.02, 2,548.50 and 449.58

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Solution

The fourth proportional to 1,699.02, 2,548.50 and 449.58 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.02 : 2,548.50 = 449.58 : x
  2. Step 2: Convert to fraction form
    1,699.02/2,548.50 = 449.58/x
  3. Step 3: Cross multiply
    1,699.02x = 2,548.50 × 449.58
  4. Step 4: Simplify right side
    1,699.02x = 1,145,754.63
  5. Step 5: Solve for x
    x = 1,145,754.63/1,699.02
  6. Step 6: Final answer
    x = 674.36

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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.