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Finding the Fourth Proportional to 734.00, 1,099.58 and 712.13

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Solution

The fourth proportional to 734.00, 1,099.58 and 712.13 is: 1,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.00 : 1,099.58 = 712.13 : x
  2. Step 2: Convert to fraction form
    734.00/1,099.58 = 712.13/x
  3. Step 3: Cross multiply
    734.00x = 1,099.58 × 712.13
  4. Step 4: Simplify right side
    734.00x = 783,034.85
  5. Step 5: Solve for x
    x = 783,034.85/734.00
  6. Step 6: Final answer
    x = 1,066.81

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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.