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Finding the Fourth Proportional to 762.64, 1,052.47 and 464.09

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Solution

The fourth proportional to 762.64, 1,052.47 and 464.09 is: 640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.64 : 1,052.47 = 464.09 : x
  2. Step 2: Convert to fraction form
    762.64/1,052.47 = 464.09/x
  3. Step 3: Cross multiply
    762.64x = 1,052.47 × 464.09
  4. Step 4: Simplify right side
    762.64x = 488,435.54
  5. Step 5: Solve for x
    x = 488,435.54/762.64
  6. Step 6: Final answer
    x = 640.46

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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.