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Finding the Fourth Proportional to 824.16, 1,236.24 and 701.64

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Solution

The fourth proportional to 824.16, 1,236.24 and 701.64 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,236.24 = 701.64 : x
  2. Step 2: Convert to fraction form
    824.16/1,236.24 = 701.64/x
  3. Step 3: Cross multiply
    824.16x = 1,236.24 × 701.64
  4. Step 4: Simplify right side
    824.16x = 867,395.43
  5. Step 5: Solve for x
    x = 867,395.43/824.16
  6. Step 6: Final answer
    x = 1,052.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.