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Finding the Fourth Proportional to 768.76, 1,152.84 and 275.02

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Solution

The fourth proportional to 768.76, 1,152.84 and 275.02 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.76 : 1,152.84 = 275.02 : x
  2. Step 2: Convert to fraction form
    768.76/1,152.84 = 275.02/x
  3. Step 3: Cross multiply
    768.76x = 1,152.84 × 275.02
  4. Step 4: Simplify right side
    768.76x = 317,054.06
  5. Step 5: Solve for x
    x = 317,054.06/768.76
  6. Step 6: Final answer
    x = 412.42

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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.