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Finding the Fourth Proportional to 731.09, 1,096.63 and 320.13

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Solution

The fourth proportional to 731.09, 1,096.63 and 320.13 is: 480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,096.63 = 320.13 : x
  2. Step 2: Convert to fraction form
    731.09/1,096.63 = 320.13/x
  3. Step 3: Cross multiply
    731.09x = 1,096.63 × 320.13
  4. Step 4: Simplify right side
    731.09x = 351,068.79
  5. Step 5: Solve for x
    x = 351,068.79/731.09
  6. Step 6: Final answer
    x = 480.20

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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.