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Finding the Fourth Proportional to 785.97, 1,084.39 and 524.03

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Solution

The fourth proportional to 785.97, 1,084.39 and 524.03 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.97 : 1,084.39 = 524.03 : x
  2. Step 2: Convert to fraction form
    785.97/1,084.39 = 524.03/x
  3. Step 3: Cross multiply
    785.97x = 1,084.39 × 524.03
  4. Step 4: Simplify right side
    785.97x = 568,252.89
  5. Step 5: Solve for x
    x = 568,252.89/785.97
  6. Step 6: Final answer
    x = 723.00

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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.