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Finding the Fourth Proportional to 958.30, 1,322.07 and 695.74

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Solution

The fourth proportional to 958.30, 1,322.07 and 695.74 is: 959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.30 : 1,322.07 = 695.74 : x
  2. Step 2: Convert to fraction form
    958.30/1,322.07 = 695.74/x
  3. Step 3: Cross multiply
    958.30x = 1,322.07 × 695.74
  4. Step 4: Simplify right side
    958.30x = 919,816.98
  5. Step 5: Solve for x
    x = 919,816.98/958.30
  6. Step 6: Final answer
    x = 959.84

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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.