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Finding the Fourth Proportional to 1,504.35, 2,257.25 and 627.53

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Solution

The fourth proportional to 1,504.35, 2,257.25 and 627.53 is: 941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.35 : 2,257.25 = 627.53 : x
  2. Step 2: Convert to fraction form
    1,504.35/2,257.25 = 627.53/x
  3. Step 3: Cross multiply
    1,504.35x = 2,257.25 × 627.53
  4. Step 4: Simplify right side
    1,504.35x = 1,416,477.67
  5. Step 5: Solve for x
    x = 1,416,477.67/1,504.35
  6. Step 6: Final answer
    x = 941.59

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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.