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Finding the Fourth Proportional to 786.43, 1,179.92 and 375.36

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Solution

The fourth proportional to 786.43, 1,179.92 and 375.36 is: 563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.43 : 1,179.92 = 375.36 : x
  2. Step 2: Convert to fraction form
    786.43/1,179.92 = 375.36/x
  3. Step 3: Cross multiply
    786.43x = 1,179.92 × 375.36
  4. Step 4: Simplify right side
    786.43x = 442,894.77
  5. Step 5: Solve for x
    x = 442,894.77/786.43
  6. Step 6: Final answer
    x = 563.17

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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.