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Finding the Fourth Proportional to 824.42, 1,236.64 and 582.06

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Solution

The fourth proportional to 824.42, 1,236.64 and 582.06 is: 873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.42 : 1,236.64 = 582.06 : x
  2. Step 2: Convert to fraction form
    824.42/1,236.64 = 582.06/x
  3. Step 3: Cross multiply
    824.42x = 1,236.64 × 582.06
  4. Step 4: Simplify right side
    824.42x = 719,798.68
  5. Step 5: Solve for x
    x = 719,798.68/824.42
  6. Step 6: Final answer
    x = 873.10

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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.