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Finding the Fourth Proportional to 1,148.36, 1,584.18 and 682.28

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Solution

The fourth proportional to 1,148.36, 1,584.18 and 682.28 is: 941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.36 : 1,584.18 = 682.28 : x
  2. Step 2: Convert to fraction form
    1,148.36/1,584.18 = 682.28/x
  3. Step 3: Cross multiply
    1,148.36x = 1,584.18 × 682.28
  4. Step 4: Simplify right side
    1,148.36x = 1,080,854.33
  5. Step 5: Solve for x
    x = 1,080,854.33/1,148.36
  6. Step 6: Final answer
    x = 941.22

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