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Finding the Fourth Proportional to 873.16, 1,204.83 and 519.23

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Solution

The fourth proportional to 873.16, 1,204.83 and 519.23 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.16 : 1,204.83 = 519.23 : x
  2. Step 2: Convert to fraction form
    873.16/1,204.83 = 519.23/x
  3. Step 3: Cross multiply
    873.16x = 1,204.83 × 519.23
  4. Step 4: Simplify right side
    873.16x = 625,586.89
  5. Step 5: Solve for x
    x = 625,586.89/873.16
  6. Step 6: Final answer
    x = 716.47

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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.