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Finding the Fourth Proportional to 1,603.31, 2,405.18 and 449.06

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Solution

The fourth proportional to 1,603.31, 2,405.18 and 449.06 is: 673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.31 : 2,405.18 = 449.06 : x
  2. Step 2: Convert to fraction form
    1,603.31/2,405.18 = 449.06/x
  3. Step 3: Cross multiply
    1,603.31x = 2,405.18 × 449.06
  4. Step 4: Simplify right side
    1,603.31x = 1,080,073.90
  5. Step 5: Solve for x
    x = 1,080,073.90/1,603.31
  6. Step 6: Final answer
    x = 673.65

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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.