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Finding the Fourth Proportional to 781.36, 1,172.53 and 406.15

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Solution

The fourth proportional to 781.36, 1,172.53 and 406.15 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.36 : 1,172.53 = 406.15 : x
  2. Step 2: Convert to fraction form
    781.36/1,172.53 = 406.15/x
  3. Step 3: Cross multiply
    781.36x = 1,172.53 × 406.15
  4. Step 4: Simplify right side
    781.36x = 476,223.94
  5. Step 5: Solve for x
    x = 476,223.94/781.36
  6. Step 6: Final answer
    x = 609.48

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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.