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Finding the Fourth Proportional to 785.66, 1,084.47 and 523.64

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Solution

The fourth proportional to 785.66, 1,084.47 and 523.64 is: 722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.66 : 1,084.47 = 523.64 : x
  2. Step 2: Convert to fraction form
    785.66/1,084.47 = 523.64/x
  3. Step 3: Cross multiply
    785.66x = 1,084.47 × 523.64
  4. Step 4: Simplify right side
    785.66x = 567,871.87
  5. Step 5: Solve for x
    x = 567,871.87/785.66
  6. Step 6: Final answer
    x = 722.80

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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.