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Finding the Fourth Proportional to 740.56, 1,110.12 and 694.48

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Solution

The fourth proportional to 740.56, 1,110.12 and 694.48 is: 1,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,110.12 = 694.48 : x
  2. Step 2: Convert to fraction form
    740.56/1,110.12 = 694.48/x
  3. Step 3: Cross multiply
    740.56x = 1,110.12 × 694.48
  4. Step 4: Simplify right side
    740.56x = 770,956.14
  5. Step 5: Solve for x
    x = 770,956.14/740.56
  6. Step 6: Final answer
    x = 1,041.04

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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.