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Finding the Fourth Proportional to 734.64, 1,095.93 and 682.26

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Solution

The fourth proportional to 734.64, 1,095.93 and 682.26 is: 1,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,095.93 = 682.26 : x
  2. Step 2: Convert to fraction form
    734.64/1,095.93 = 682.26/x
  3. Step 3: Cross multiply
    734.64x = 1,095.93 × 682.26
  4. Step 4: Simplify right side
    734.64x = 747,709.20
  5. Step 5: Solve for x
    x = 747,709.20/734.64
  6. Step 6: Final answer
    x = 1,017.79

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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.