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Finding the Fourth Proportional to 777.63, 1,165.09 and 648.46

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Solution

The fourth proportional to 777.63, 1,165.09 and 648.46 is: 971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.63 : 1,165.09 = 648.46 : x
  2. Step 2: Convert to fraction form
    777.63/1,165.09 = 648.46/x
  3. Step 3: Cross multiply
    777.63x = 1,165.09 × 648.46
  4. Step 4: Simplify right side
    777.63x = 755,514.26
  5. Step 5: Solve for x
    x = 755,514.26/777.63
  6. Step 6: Final answer
    x = 971.56

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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.