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Finding the Fourth Proportional to 1,148.06, 1,584.47 and 682.31

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Solution

The fourth proportional to 1,148.06, 1,584.47 and 682.31 is: 941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.06 : 1,584.47 = 682.31 : x
  2. Step 2: Convert to fraction form
    1,148.06/1,584.47 = 682.31/x
  3. Step 3: Cross multiply
    1,148.06x = 1,584.47 × 682.31
  4. Step 4: Simplify right side
    1,148.06x = 1,081,105.39
  5. Step 5: Solve for x
    x = 1,081,105.39/1,148.06
  6. Step 6: Final answer
    x = 941.68

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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.