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Finding the Fourth Proportional to 958.52, 1,434.74 and 784.77

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Solution

The fourth proportional to 958.52, 1,434.74 and 784.77 is: 1,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.52 : 1,434.74 = 784.77 : x
  2. Step 2: Convert to fraction form
    958.52/1,434.74 = 784.77/x
  3. Step 3: Cross multiply
    958.52x = 1,434.74 × 784.77
  4. Step 4: Simplify right side
    958.52x = 1,125,936.99
  5. Step 5: Solve for x
    x = 1,125,936.99/958.52
  6. Step 6: Final answer
    x = 1,174.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.