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Finding the Fourth Proportional to 764.02, 1,148.16 and 455.92

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Solution

The fourth proportional to 764.02, 1,148.16 and 455.92 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.02 : 1,148.16 = 455.92 : x
  2. Step 2: Convert to fraction form
    764.02/1,148.16 = 455.92/x
  3. Step 3: Cross multiply
    764.02x = 1,148.16 × 455.92
  4. Step 4: Simplify right side
    764.02x = 523,469.11
  5. Step 5: Solve for x
    x = 523,469.11/764.02
  6. Step 6: Final answer
    x = 685.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.