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Finding the Fourth Proportional to 784.92, 1,083.72 and 523.32

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Solution

The fourth proportional to 784.92, 1,083.72 and 523.32 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,083.72 = 523.32 : x
  2. Step 2: Convert to fraction form
    784.92/1,083.72 = 523.32/x
  3. Step 3: Cross multiply
    784.92x = 1,083.72 × 523.32
  4. Step 4: Simplify right side
    784.92x = 567,132.35
  5. Step 5: Solve for x
    x = 567,132.35/784.92
  6. Step 6: Final answer
    x = 722.54

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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.