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Finding the Fourth Proportional to 1,205.38, 1,808.14 and 511.36

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Solution

The fourth proportional to 1,205.38, 1,808.14 and 511.36 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.38 : 1,808.14 = 511.36 : x
  2. Step 2: Convert to fraction form
    1,205.38/1,808.14 = 511.36/x
  3. Step 3: Cross multiply
    1,205.38x = 1,808.14 × 511.36
  4. Step 4: Simplify right side
    1,205.38x = 924,610.47
  5. Step 5: Solve for x
    x = 924,610.47/1,205.38
  6. Step 6: Final answer
    x = 767.07

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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.