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Finding the Fourth Proportional to 1,004.98, 1,507.40 and 449.86

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Solution

The fourth proportional to 1,004.98, 1,507.40 and 449.86 is: 674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.98 : 1,507.40 = 449.86 : x
  2. Step 2: Convert to fraction form
    1,004.98/1,507.40 = 449.86/x
  3. Step 3: Cross multiply
    1,004.98x = 1,507.40 × 449.86
  4. Step 4: Simplify right side
    1,004.98x = 678,118.96
  5. Step 5: Solve for x
    x = 678,118.96/1,004.98
  6. Step 6: Final answer
    x = 674.76

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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.