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Finding the Fourth Proportional to 734.83, 1,096.07 and 675.13

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Solution

The fourth proportional to 734.83, 1,096.07 and 675.13 is: 1,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,096.07 = 675.13 : x
  2. Step 2: Convert to fraction form
    734.83/1,096.07 = 675.13/x
  3. Step 3: Cross multiply
    734.83x = 1,096.07 × 675.13
  4. Step 4: Simplify right side
    734.83x = 739,984.26
  5. Step 5: Solve for x
    x = 739,984.26/734.83
  6. Step 6: Final answer
    x = 1,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.