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Finding the Fourth Proportional to 768.69, 1,152.81 and 417.24

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Solution

The fourth proportional to 768.69, 1,152.81 and 417.24 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.69 : 1,152.81 = 417.24 : x
  2. Step 2: Convert to fraction form
    768.69/1,152.81 = 417.24/x
  3. Step 3: Cross multiply
    768.69x = 1,152.81 × 417.24
  4. Step 4: Simplify right side
    768.69x = 480,998.44
  5. Step 5: Solve for x
    x = 480,998.44/768.69
  6. Step 6: Final answer
    x = 625.74

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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.