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Finding the Fourth Proportional to 768, 1,152.64 and 464

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Solution

The fourth proportional to 768, 1,152.64 and 464 is: 696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,152.64 = 464 : x
  2. Step 2: Convert to fraction form
    768/1,152.64 = 464/x
  3. Step 3: Cross multiply
    768x = 1,152.64 × 464
  4. Step 4: Simplify right side
    768x = 534,824.96
  5. Step 5: Solve for x
    x = 534,824.96/768
  6. Step 6: Final answer
    x = 696.39

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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.