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Finding the Fourth Proportional to 873.04, 1,205.64 and 824.56

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Solution

The fourth proportional to 873.04, 1,205.64 and 824.56 is: 1,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.04 : 1,205.64 = 824.56 : x
  2. Step 2: Convert to fraction form
    873.04/1,205.64 = 824.56/x
  3. Step 3: Cross multiply
    873.04x = 1,205.64 × 824.56
  4. Step 4: Simplify right side
    873.04x = 994,122.52
  5. Step 5: Solve for x
    x = 994,122.52/873.04
  6. Step 6: Final answer
    x = 1,138.69

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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.