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Finding the Fourth Proportional to 941.62, 1,412.43 and 511.51

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Solution

The fourth proportional to 941.62, 1,412.43 and 511.51 is: 767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.62 : 1,412.43 = 511.51 : x
  2. Step 2: Convert to fraction form
    941.62/1,412.43 = 511.51/x
  3. Step 3: Cross multiply
    941.62x = 1,412.43 × 511.51
  4. Step 4: Simplify right side
    941.62x = 722,472.07
  5. Step 5: Solve for x
    x = 722,472.07/941.62
  6. Step 6: Final answer
    x = 767.27

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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.