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Finding the Fourth Proportional to 1,004.14, 1,505.67 and 449.02

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Solution

The fourth proportional to 1,004.14, 1,505.67 and 449.02 is: 673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.14 : 1,505.67 = 449.02 : x
  2. Step 2: Convert to fraction form
    1,004.14/1,505.67 = 449.02/x
  3. Step 3: Cross multiply
    1,004.14x = 1,505.67 × 449.02
  4. Step 4: Simplify right side
    1,004.14x = 676,075.94
  5. Step 5: Solve for x
    x = 676,075.94/1,004.14
  6. Step 6: Final answer
    x = 673.29

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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.