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Finding the Fourth Proportional to 1,148.14, 1,584.48 and 682.39

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Solution

The fourth proportional to 1,148.14, 1,584.48 and 682.39 is: 941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.14 : 1,584.48 = 682.39 : x
  2. Step 2: Convert to fraction form
    1,148.14/1,584.48 = 682.39/x
  3. Step 3: Cross multiply
    1,148.14x = 1,584.48 × 682.39
  4. Step 4: Simplify right side
    1,148.14x = 1,081,233.31
  5. Step 5: Solve for x
    x = 1,081,233.31/1,148.14
  6. Step 6: Final answer
    x = 941.73

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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.