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Finding the Fourth Proportional to 667.03, 921.14 and 511.51

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Solution

The fourth proportional to 667.03, 921.14 and 511.51 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.03 : 921.14 = 511.51 : x
  2. Step 2: Convert to fraction form
    667.03/921.14 = 511.51/x
  3. Step 3: Cross multiply
    667.03x = 921.14 × 511.51
  4. Step 4: Simplify right side
    667.03x = 471,169.76
  5. Step 5: Solve for x
    x = 471,169.76/667.03
  6. Step 6: Final answer
    x = 706.37

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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.