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Finding the Fourth Proportional to 873.08, 1,204.98 and 541.44

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Solution

The fourth proportional to 873.08, 1,204.98 and 541.44 is: 747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.08 : 1,204.98 = 541.44 : x
  2. Step 2: Convert to fraction form
    873.08/1,204.98 = 541.44/x
  3. Step 3: Cross multiply
    873.08x = 1,204.98 × 541.44
  4. Step 4: Simplify right side
    873.08x = 652,424.37
  5. Step 5: Solve for x
    x = 652,424.37/873.08
  6. Step 6: Final answer
    x = 747.27

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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.