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Finding the Fourth Proportional to 784.68, 1,083.42 and 523.32

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Solution

The fourth proportional to 784.68, 1,083.42 and 523.32 is: 722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.68 : 1,083.42 = 523.32 : x
  2. Step 2: Convert to fraction form
    784.68/1,083.42 = 523.32/x
  3. Step 3: Cross multiply
    784.68x = 1,083.42 × 523.32
  4. Step 4: Simplify right side
    784.68x = 566,975.35
  5. Step 5: Solve for x
    x = 566,975.35/784.68
  6. Step 6: Final answer
    x = 722.56

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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.