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Finding the Fourth Proportional to 1,504.85, 2,257.27 and 530.75

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Solution

The fourth proportional to 1,504.85, 2,257.27 and 530.75 is: 796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.85 : 2,257.27 = 530.75 : x
  2. Step 2: Convert to fraction form
    1,504.85/2,257.27 = 530.75/x
  3. Step 3: Cross multiply
    1,504.85x = 2,257.27 × 530.75
  4. Step 4: Simplify right side
    1,504.85x = 1,198,050.37
  5. Step 5: Solve for x
    x = 1,198,050.37/1,504.85
  6. Step 6: Final answer
    x = 796.13

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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.