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Finding the Fourth Proportional to 958.76, 1,323 and 539

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Solution

The fourth proportional to 958.76, 1,323 and 539 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.76 : 1,323 = 539 : x
  2. Step 2: Convert to fraction form
    958.76/1,323 = 539/x
  3. Step 3: Cross multiply
    958.76x = 1,323 × 539
  4. Step 4: Simplify right side
    958.76x = 713,097
  5. Step 5: Solve for x
    x = 713,097/958.76
  6. Step 6: Final answer
    x = 743.77

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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.