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Finding the Fourth Proportional to 958.96, 1,323.33 and 586.57

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Solution

The fourth proportional to 958.96, 1,323.33 and 586.57 is: 809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.96 : 1,323.33 = 586.57 : x
  2. Step 2: Convert to fraction form
    958.96/1,323.33 = 586.57/x
  3. Step 3: Cross multiply
    958.96x = 1,323.33 × 586.57
  4. Step 4: Simplify right side
    958.96x = 776,225.68
  5. Step 5: Solve for x
    x = 776,225.68/958.96
  6. Step 6: Final answer
    x = 809.45

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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.