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Finding the Fourth Proportional to 673.34, 1,010.02 and 443.70

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Solution

The fourth proportional to 673.34, 1,010.02 and 443.70 is: 665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 1,010.02 = 443.70 : x
  2. Step 2: Convert to fraction form
    673.34/1,010.02 = 443.70/x
  3. Step 3: Cross multiply
    673.34x = 1,010.02 × 443.70
  4. Step 4: Simplify right side
    673.34x = 448,138.61
  5. Step 5: Solve for x
    x = 448,138.61/673.34
  6. Step 6: Final answer
    x = 665.55

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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.