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Finding the Fourth Proportional to 1,071.09, 1,606.64 and 301.59

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Solution

The fourth proportional to 1,071.09, 1,606.64 and 301.59 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.09 : 1,606.64 = 301.59 : x
  2. Step 2: Convert to fraction form
    1,071.09/1,606.64 = 301.59/x
  3. Step 3: Cross multiply
    1,071.09x = 1,606.64 × 301.59
  4. Step 4: Simplify right side
    1,071.09x = 484,553.34
  5. Step 5: Solve for x
    x = 484,553.34/1,071.09
  6. Step 6: Final answer
    x = 452.39

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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.