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Finding the Fourth Proportional to 1,104.17, 1,662.80 and 1,031.27

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Solution

The fourth proportional to 1,104.17, 1,662.80 and 1,031.27 is: 1,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.17 : 1,662.80 = 1,031.27 : x
  2. Step 2: Convert to fraction form
    1,104.17/1,662.80 = 1,031.27/x
  3. Step 3: Cross multiply
    1,104.17x = 1,662.80 × 1,031.27
  4. Step 4: Simplify right side
    1,104.17x = 1,714,782.29
  5. Step 5: Solve for x
    x = 1,714,782.29/1,104.17
  6. Step 6: Final answer
    x = 1,553.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.