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Finding the Fourth Proportional to 1,202.85, 1,805.19 and 472.94

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Solution

The fourth proportional to 1,202.85, 1,805.19 and 472.94 is: 709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.85 : 1,805.19 = 472.94 : x
  2. Step 2: Convert to fraction form
    1,202.85/1,805.19 = 472.94/x
  3. Step 3: Cross multiply
    1,202.85x = 1,805.19 × 472.94
  4. Step 4: Simplify right side
    1,202.85x = 853,742.53
  5. Step 5: Solve for x
    x = 853,742.53/1,202.85
  6. Step 6: Final answer
    x = 709.77

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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.