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Finding the Fourth Proportional to 762.08, 1,052.88 and 725.72

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Solution

The fourth proportional to 762.08, 1,052.88 and 725.72 is: 1,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.08 : 1,052.88 = 725.72 : x
  2. Step 2: Convert to fraction form
    762.08/1,052.88 = 725.72/x
  3. Step 3: Cross multiply
    762.08x = 1,052.88 × 725.72
  4. Step 4: Simplify right side
    762.08x = 764,096.07
  5. Step 5: Solve for x
    x = 764,096.07/762.08
  6. Step 6: Final answer
    x = 1,002.65

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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.