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Finding the Fourth Proportional to 936.43, 1,403.19 and 782.26

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Solution

The fourth proportional to 936.43, 1,403.19 and 782.26 is: 1,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.43 : 1,403.19 = 782.26 : x
  2. Step 2: Convert to fraction form
    936.43/1,403.19 = 782.26/x
  3. Step 3: Cross multiply
    936.43x = 1,403.19 × 782.26
  4. Step 4: Simplify right side
    936.43x = 1,097,655.90
  5. Step 5: Solve for x
    x = 1,097,655.90/936.43
  6. Step 6: Final answer
    x = 1,172.17

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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.