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Finding the Fourth Proportional to 768.47, 1,152.91 and 403.16

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Solution

The fourth proportional to 768.47, 1,152.91 and 403.16 is: 604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.47 : 1,152.91 = 403.16 : x
  2. Step 2: Convert to fraction form
    768.47/1,152.91 = 403.16/x
  3. Step 3: Cross multiply
    768.47x = 1,152.91 × 403.16
  4. Step 4: Simplify right side
    768.47x = 464,807.20
  5. Step 5: Solve for x
    x = 464,807.20/768.47
  6. Step 6: Final answer
    x = 604.85

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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.