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Finding the Fourth Proportional to 958.73, 1,434.98 and 495.86

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Solution

The fourth proportional to 958.73, 1,434.98 and 495.86 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.73 : 1,434.98 = 495.86 : x
  2. Step 2: Convert to fraction form
    958.73/1,434.98 = 495.86/x
  3. Step 3: Cross multiply
    958.73x = 1,434.98 × 495.86
  4. Step 4: Simplify right side
    958.73x = 711,543.25
  5. Step 5: Solve for x
    x = 711,543.25/958.73
  6. Step 6: Final answer
    x = 742.18

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Why These Related Problems?

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