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Finding the Fourth Proportional to 824.52, 1,139.40 and 684.48

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Solution

The fourth proportional to 824.52, 1,139.40 and 684.48 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.52 : 1,139.40 = 684.48 : x
  2. Step 2: Convert to fraction form
    824.52/1,139.40 = 684.48/x
  3. Step 3: Cross multiply
    824.52x = 1,139.40 × 684.48
  4. Step 4: Simplify right side
    824.52x = 779,896.51
  5. Step 5: Solve for x
    x = 779,896.51/824.52
  6. Step 6: Final answer
    x = 945.88

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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.