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Finding the Fourth Proportional to 667.65, 918.56 and 649.43

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Solution

The fourth proportional to 667.65, 918.56 and 649.43 is: 893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.65 : 918.56 = 649.43 : x
  2. Step 2: Convert to fraction form
    667.65/918.56 = 649.43/x
  3. Step 3: Cross multiply
    667.65x = 918.56 × 649.43
  4. Step 4: Simplify right side
    667.65x = 596,537.45
  5. Step 5: Solve for x
    x = 596,537.45/667.65
  6. Step 6: Final answer
    x = 893.49

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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.