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Finding the Fourth Proportional to 768.07, 1,152.30 and 402.76

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Solution

The fourth proportional to 768.07, 1,152.30 and 402.76 is: 604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.07 : 1,152.30 = 402.76 : x
  2. Step 2: Convert to fraction form
    768.07/1,152.30 = 402.76/x
  3. Step 3: Cross multiply
    768.07x = 1,152.30 × 402.76
  4. Step 4: Simplify right side
    768.07x = 464,094.59
  5. Step 5: Solve for x
    x = 464,094.59/768.07
  6. Step 6: Final answer
    x = 604.24

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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.