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Finding the Fourth Proportional to 1,436.52, 2,155 and 511.80

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Solution

The fourth proportional to 1,436.52, 2,155 and 511.80 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.52 : 2,155 = 511.80 : x
  2. Step 2: Convert to fraction form
    1,436.52/2,155 = 511.80/x
  3. Step 3: Cross multiply
    1,436.52x = 2,155 × 511.80
  4. Step 4: Simplify right side
    1,436.52x = 1,102,929
  5. Step 5: Solve for x
    x = 1,102,929/1,436.52
  6. Step 6: Final answer
    x = 767.78

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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.