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Finding the Fourth Proportional to 1,070.21, 1,472.27 and 873.29

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Solution

The fourth proportional to 1,070.21, 1,472.27 and 873.29 is: 1,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.21 : 1,472.27 = 873.29 : x
  2. Step 2: Convert to fraction form
    1,070.21/1,472.27 = 873.29/x
  3. Step 3: Cross multiply
    1,070.21x = 1,472.27 × 873.29
  4. Step 4: Simplify right side
    1,070.21x = 1,285,714.30
  5. Step 5: Solve for x
    x = 1,285,714.30/1,070.21
  6. Step 6: Final answer
    x = 1,201.37

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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.