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Finding the Fourth Proportional to 873.52, 1,204.99 and 541.78

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Solution

The fourth proportional to 873.52, 1,204.99 and 541.78 is: 747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.52 : 1,204.99 = 541.78 : x
  2. Step 2: Convert to fraction form
    873.52/1,204.99 = 541.78/x
  3. Step 3: Cross multiply
    873.52x = 1,204.99 × 541.78
  4. Step 4: Simplify right side
    873.52x = 652,839.48
  5. Step 5: Solve for x
    x = 652,839.48/873.52
  6. Step 6: Final answer
    x = 747.37

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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.