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Finding the Fourth Proportional to 730.54, 1,096.35 and 523.18

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Solution

The fourth proportional to 730.54, 1,096.35 and 523.18 is: 785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.54 : 1,096.35 = 523.18 : x
  2. Step 2: Convert to fraction form
    730.54/1,096.35 = 523.18/x
  3. Step 3: Cross multiply
    730.54x = 1,096.35 × 523.18
  4. Step 4: Simplify right side
    730.54x = 573,588.39
  5. Step 5: Solve for x
    x = 573,588.39/730.54
  6. Step 6: Final answer
    x = 785.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.