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Finding the Fourth Proportional to 781.51, 1,172.99 and 547.33

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Solution

The fourth proportional to 781.51, 1,172.99 and 547.33 is: 821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.51 : 1,172.99 = 547.33 : x
  2. Step 2: Convert to fraction form
    781.51/1,172.99 = 547.33/x
  3. Step 3: Cross multiply
    781.51x = 1,172.99 × 547.33
  4. Step 4: Simplify right side
    781.51x = 642,012.62
  5. Step 5: Solve for x
    x = 642,012.62/781.51
  6. Step 6: Final answer
    x = 821.50

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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.