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Finding the Fourth Proportional to 785.93, 1,084.23 and 506.06

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Solution

The fourth proportional to 785.93, 1,084.23 and 506.06 is: 698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.93 : 1,084.23 = 506.06 : x
  2. Step 2: Convert to fraction form
    785.93/1,084.23 = 506.06/x
  3. Step 3: Cross multiply
    785.93x = 1,084.23 × 506.06
  4. Step 4: Simplify right side
    785.93x = 548,680.01
  5. Step 5: Solve for x
    x = 548,680.01/785.93
  6. Step 6: Final answer
    x = 698.13

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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.