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Finding the Fourth Proportional to 673.02, 1,008.18 and 347.94

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Solution

The fourth proportional to 673.02, 1,008.18 and 347.94 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.02 : 1,008.18 = 347.94 : x
  2. Step 2: Convert to fraction form
    673.02/1,008.18 = 347.94/x
  3. Step 3: Cross multiply
    673.02x = 1,008.18 × 347.94
  4. Step 4: Simplify right side
    673.02x = 350,786.15
  5. Step 5: Solve for x
    x = 350,786.15/673.02
  6. Step 6: Final answer
    x = 521.21

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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.