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Finding the Fourth Proportional to 768.28, 1,153.45 and 456.51

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Solution

The fourth proportional to 768.28, 1,153.45 and 456.51 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.28 : 1,153.45 = 456.51 : x
  2. Step 2: Convert to fraction form
    768.28/1,153.45 = 456.51/x
  3. Step 3: Cross multiply
    768.28x = 1,153.45 × 456.51
  4. Step 4: Simplify right side
    768.28x = 526,559.18
  5. Step 5: Solve for x
    x = 526,559.18/768.28
  6. Step 6: Final answer
    x = 685.37

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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.