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Finding the Fourth Proportional to 1,205.84, 1,806.33 and 627.50

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Solution

The fourth proportional to 1,205.84, 1,806.33 and 627.50 is: 939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.84 : 1,806.33 = 627.50 : x
  2. Step 2: Convert to fraction form
    1,205.84/1,806.33 = 627.50/x
  3. Step 3: Cross multiply
    1,205.84x = 1,806.33 × 627.50
  4. Step 4: Simplify right side
    1,205.84x = 1,133,472.08
  5. Step 5: Solve for x
    x = 1,133,472.08/1,205.84
  6. Step 6: Final answer
    x = 939.99

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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.