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Finding the Fourth Proportional to 1,205.09, 1,807.88 and 511.76

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Solution

The fourth proportional to 1,205.09, 1,807.88 and 511.76 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.09 : 1,807.88 = 511.76 : x
  2. Step 2: Convert to fraction form
    1,205.09/1,807.88 = 511.76/x
  3. Step 3: Cross multiply
    1,205.09x = 1,807.88 × 511.76
  4. Step 4: Simplify right side
    1,205.09x = 925,189.07
  5. Step 5: Solve for x
    x = 925,189.07/1,205.09
  6. Step 6: Final answer
    x = 767.74

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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.