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Finding the Fourth Proportional to 1,203.02, 1,805.73 and 627.18

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Solution

The fourth proportional to 1,203.02, 1,805.73 and 627.18 is: 941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.02 : 1,805.73 = 627.18 : x
  2. Step 2: Convert to fraction form
    1,203.02/1,805.73 = 627.18/x
  3. Step 3: Cross multiply
    1,203.02x = 1,805.73 × 627.18
  4. Step 4: Simplify right side
    1,203.02x = 1,132,517.74
  5. Step 5: Solve for x
    x = 1,132,517.74/1,203.02
  6. Step 6: Final answer
    x = 941.40

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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.