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Finding the Fourth Proportional to 762.55, 1,052.33 and 447.80

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Solution

The fourth proportional to 762.55, 1,052.33 and 447.80 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.55 : 1,052.33 = 447.80 : x
  2. Step 2: Convert to fraction form
    762.55/1,052.33 = 447.80/x
  3. Step 3: Cross multiply
    762.55x = 1,052.33 × 447.80
  4. Step 4: Simplify right side
    762.55x = 471,225.87
  5. Step 5: Solve for x
    x = 471,225.87/762.55
  6. Step 6: Final answer
    x = 617.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.