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Finding the Fourth Proportional to 762.75, 1,052.64 and 452.25

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Solution

The fourth proportional to 762.75, 1,052.64 and 452.25 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,052.64 = 452.25 : x
  2. Step 2: Convert to fraction form
    762.75/1,052.64 = 452.25/x
  3. Step 3: Cross multiply
    762.75x = 1,052.64 × 452.25
  4. Step 4: Simplify right side
    762.75x = 476,056.44
  5. Step 5: Solve for x
    x = 476,056.44/762.75
  6. Step 6: Final answer
    x = 624.13

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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.