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Finding the Fourth Proportional to 971.30, 1,455.24 and 849.26

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Solution

The fourth proportional to 971.30, 1,455.24 and 849.26 is: 1,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.30 : 1,455.24 = 849.26 : x
  2. Step 2: Convert to fraction form
    971.30/1,455.24 = 849.26/x
  3. Step 3: Cross multiply
    971.30x = 1,455.24 × 849.26
  4. Step 4: Simplify right side
    971.30x = 1,235,877.12
  5. Step 5: Solve for x
    x = 1,235,877.12/971.30
  6. Step 6: Final answer
    x = 1,272.39

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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.