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Finding the Fourth Proportional to 873.02, 1,317.11 and 825.23

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Solution

The fourth proportional to 873.02, 1,317.11 and 825.23 is: 1,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.02 : 1,317.11 = 825.23 : x
  2. Step 2: Convert to fraction form
    873.02/1,317.11 = 825.23/x
  3. Step 3: Cross multiply
    873.02x = 1,317.11 × 825.23
  4. Step 4: Simplify right side
    873.02x = 1,086,918.69
  5. Step 5: Solve for x
    x = 1,086,918.69/873.02
  6. Step 6: Final answer
    x = 1,245.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.