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Finding the Fourth Proportional to 958.15, 1,322.13 and 565.03

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Solution

The fourth proportional to 958.15, 1,322.13 and 565.03 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.15 : 1,322.13 = 565.03 : x
  2. Step 2: Convert to fraction form
    958.15/1,322.13 = 565.03/x
  3. Step 3: Cross multiply
    958.15x = 1,322.13 × 565.03
  4. Step 4: Simplify right side
    958.15x = 747,043.11
  5. Step 5: Solve for x
    x = 747,043.11/958.15
  6. Step 6: Final answer
    x = 779.67

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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.