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Finding the Fourth Proportional to 812.34, 1,218.51 and 649.26

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Solution

The fourth proportional to 812.34, 1,218.51 and 649.26 is: 973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.34 : 1,218.51 = 649.26 : x
  2. Step 2: Convert to fraction form
    812.34/1,218.51 = 649.26/x
  3. Step 3: Cross multiply
    812.34x = 1,218.51 × 649.26
  4. Step 4: Simplify right side
    812.34x = 791,129.80
  5. Step 5: Solve for x
    x = 791,129.80/812.34
  6. Step 6: Final answer
    x = 973.89

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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.