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Finding the Fourth Proportional to 873.24, 1,203.86 and 593.04

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Solution

The fourth proportional to 873.24, 1,203.86 and 593.04 is: 817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.24 : 1,203.86 = 593.04 : x
  2. Step 2: Convert to fraction form
    873.24/1,203.86 = 593.04/x
  3. Step 3: Cross multiply
    873.24x = 1,203.86 × 593.04
  4. Step 4: Simplify right side
    873.24x = 713,937.13
  5. Step 5: Solve for x
    x = 713,937.13/873.24
  6. Step 6: Final answer
    x = 817.57

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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.