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Finding the Fourth Proportional to 1,203.92, 1,805.54 and 463.36

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Solution

The fourth proportional to 1,203.92, 1,805.54 and 463.36 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.92 : 1,805.54 = 463.36 : x
  2. Step 2: Convert to fraction form
    1,203.92/1,805.54 = 463.36/x
  3. Step 3: Cross multiply
    1,203.92x = 1,805.54 × 463.36
  4. Step 4: Simplify right side
    1,203.92x = 836,615.01
  5. Step 5: Solve for x
    x = 836,615.01/1,203.92
  6. Step 6: Final answer
    x = 694.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.