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Finding the Fourth Proportional to 1,634.66, 2,452.36 and 768.50

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Solution

The fourth proportional to 1,634.66, 2,452.36 and 768.50 is: 1,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.66 : 2,452.36 = 768.50 : x
  2. Step 2: Convert to fraction form
    1,634.66/2,452.36 = 768.50/x
  3. Step 3: Cross multiply
    1,634.66x = 2,452.36 × 768.50
  4. Step 4: Simplify right side
    1,634.66x = 1,884,638.66
  5. Step 5: Solve for x
    x = 1,884,638.66/1,634.66
  6. Step 6: Final answer
    x = 1,152.92

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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.