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Finding the Fourth Proportional to 941.39, 1,298.79 and 627.24

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Solution

The fourth proportional to 941.39, 1,298.79 and 627.24 is: 865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.39 : 1,298.79 = 627.24 : x
  2. Step 2: Convert to fraction form
    941.39/1,298.79 = 627.24/x
  3. Step 3: Cross multiply
    941.39x = 1,298.79 × 627.24
  4. Step 4: Simplify right side
    941.39x = 814,653.04
  5. Step 5: Solve for x
    x = 814,653.04/941.39
  6. Step 6: Final answer
    x = 865.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.