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Finding the Fourth Proportional to 786.14, 1,084.83 and 432.06

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Solution

The fourth proportional to 786.14, 1,084.83 and 432.06 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.14 : 1,084.83 = 432.06 : x
  2. Step 2: Convert to fraction form
    786.14/1,084.83 = 432.06/x
  3. Step 3: Cross multiply
    786.14x = 1,084.83 × 432.06
  4. Step 4: Simplify right side
    786.14x = 468,711.65
  5. Step 5: Solve for x
    x = 468,711.65/786.14
  6. Step 6: Final answer
    x = 596.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.