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Finding the Fourth Proportional to 673.03, 1,008.14 and 596.18

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Solution

The fourth proportional to 673.03, 1,008.14 and 596.18 is: 893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.03 : 1,008.14 = 596.18 : x
  2. Step 2: Convert to fraction form
    673.03/1,008.14 = 596.18/x
  3. Step 3: Cross multiply
    673.03x = 1,008.14 × 596.18
  4. Step 4: Simplify right side
    673.03x = 601,029.92
  5. Step 5: Solve for x
    x = 601,029.92/673.03
  6. Step 6: Final answer
    x = 893.03

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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.