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Finding the Fourth Proportional to 958.96, 1,437.27 and 548.29

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Solution

The fourth proportional to 958.96, 1,437.27 and 548.29 is: 821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.96 : 1,437.27 = 548.29 : x
  2. Step 2: Convert to fraction form
    958.96/1,437.27 = 548.29/x
  3. Step 3: Cross multiply
    958.96x = 1,437.27 × 548.29
  4. Step 4: Simplify right side
    958.96x = 788,040.77
  5. Step 5: Solve for x
    x = 788,040.77/958.96
  6. Step 6: Final answer
    x = 821.77

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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.