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Finding the Fourth Proportional to 762.72, 1,052.57 and 467.82

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Solution

The fourth proportional to 762.72, 1,052.57 and 467.82 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,052.57 = 467.82 : x
  2. Step 2: Convert to fraction form
    762.72/1,052.57 = 467.82/x
  3. Step 3: Cross multiply
    762.72x = 1,052.57 × 467.82
  4. Step 4: Simplify right side
    762.72x = 492,414.47
  5. Step 5: Solve for x
    x = 492,414.47/762.72
  6. Step 6: Final answer
    x = 645.60

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