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Finding the Fourth Proportional to 958.81, 1,323.16 and 539.15

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Solution

The fourth proportional to 958.81, 1,323.16 and 539.15 is: 744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.81 : 1,323.16 = 539.15 : x
  2. Step 2: Convert to fraction form
    958.81/1,323.16 = 539.15/x
  3. Step 3: Cross multiply
    958.81x = 1,323.16 × 539.15
  4. Step 4: Simplify right side
    958.81x = 713,381.71
  5. Step 5: Solve for x
    x = 713,381.71/958.81
  6. Step 6: Final answer
    x = 744.03

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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.