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Finding the Fourth Proportional to 673.04, 1,009.44 and 477.41

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Solution

The fourth proportional to 673.04, 1,009.44 and 477.41 is: 716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.04 : 1,009.44 = 477.41 : x
  2. Step 2: Convert to fraction form
    673.04/1,009.44 = 477.41/x
  3. Step 3: Cross multiply
    673.04x = 1,009.44 × 477.41
  4. Step 4: Simplify right side
    673.04x = 481,916.75
  5. Step 5: Solve for x
    x = 481,916.75/673.04
  6. Step 6: Final answer
    x = 716.03

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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.