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Finding the Fourth Proportional to 768.54, 1,152.51 and 403.64

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Solution

The fourth proportional to 768.54, 1,152.51 and 403.64 is: 605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.54 : 1,152.51 = 403.64 : x
  2. Step 2: Convert to fraction form
    768.54/1,152.51 = 403.64/x
  3. Step 3: Cross multiply
    768.54x = 1,152.51 × 403.64
  4. Step 4: Simplify right side
    768.54x = 465,199.14
  5. Step 5: Solve for x
    x = 465,199.14/768.54
  6. Step 6: Final answer
    x = 605.30

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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.