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Finding the Fourth Proportional to 1,204.07, 1,805.36 and 472.79

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Solution

The fourth proportional to 1,204.07, 1,805.36 and 472.79 is: 708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.07 : 1,805.36 = 472.79 : x
  2. Step 2: Convert to fraction form
    1,204.07/1,805.36 = 472.79/x
  3. Step 3: Cross multiply
    1,204.07x = 1,805.36 × 472.79
  4. Step 4: Simplify right side
    1,204.07x = 853,544.76
  5. Step 5: Solve for x
    x = 853,544.76/1,204.07
  6. Step 6: Final answer
    x = 708.89

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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.