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Finding the Fourth Proportional to 958.12, 1,322.58 and 678.76

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Solution

The fourth proportional to 958.12, 1,322.58 and 678.76 is: 936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.12 : 1,322.58 = 678.76 : x
  2. Step 2: Convert to fraction form
    958.12/1,322.58 = 678.76/x
  3. Step 3: Cross multiply
    958.12x = 1,322.58 × 678.76
  4. Step 4: Simplify right side
    958.12x = 897,714.40
  5. Step 5: Solve for x
    x = 897,714.40/958.12
  6. Step 6: Final answer
    x = 936.95

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