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Finding the Fourth Proportional to 694.28, 958.57 and 536.64

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Solution

The fourth proportional to 694.28, 958.57 and 536.64 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.28 : 958.57 = 536.64 : x
  2. Step 2: Convert to fraction form
    694.28/958.57 = 536.64/x
  3. Step 3: Cross multiply
    694.28x = 958.57 × 536.64
  4. Step 4: Simplify right side
    694.28x = 514,399.53
  5. Step 5: Solve for x
    x = 514,399.53/694.28
  6. Step 6: Final answer
    x = 740.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.