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Finding the Fourth Proportional to 1,211.49, 1,817.46 and 389.58

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Solution

The fourth proportional to 1,211.49, 1,817.46 and 389.58 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.49 : 1,817.46 = 389.58 : x
  2. Step 2: Convert to fraction form
    1,211.49/1,817.46 = 389.58/x
  3. Step 3: Cross multiply
    1,211.49x = 1,817.46 × 389.58
  4. Step 4: Simplify right side
    1,211.49x = 708,046.07
  5. Step 5: Solve for x
    x = 708,046.07/1,211.49
  6. Step 6: Final answer
    x = 584.44

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1.5x scale

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.