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Finding the Fourth Proportional to 958.94, 1,323.06 and 565.82

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Solution

The fourth proportional to 958.94, 1,323.06 and 565.82 is: 780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.94 : 1,323.06 = 565.82 : x
  2. Step 2: Convert to fraction form
    958.94/1,323.06 = 565.82/x
  3. Step 3: Cross multiply
    958.94x = 1,323.06 × 565.82
  4. Step 4: Simplify right side
    958.94x = 748,613.81
  5. Step 5: Solve for x
    x = 748,613.81/958.94
  6. Step 6: Final answer
    x = 780.67

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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.