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Finding the Fourth Proportional to 1,503.94, 2,257.34 and 774.04

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Solution

The fourth proportional to 1,503.94, 2,257.34 and 774.04 is: 1,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.94 : 2,257.34 = 774.04 : x
  2. Step 2: Convert to fraction form
    1,503.94/2,257.34 = 774.04/x
  3. Step 3: Cross multiply
    1,503.94x = 2,257.34 × 774.04
  4. Step 4: Simplify right side
    1,503.94x = 1,747,271.45
  5. Step 5: Solve for x
    x = 1,747,271.45/1,503.94
  6. Step 6: Final answer
    x = 1,161.80

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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.