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Finding the Fourth Proportional to 958.16, 1,322.54 and 565.41

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Solution

The fourth proportional to 958.16, 1,322.54 and 565.41 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.16 : 1,322.54 = 565.41 : x
  2. Step 2: Convert to fraction form
    958.16/1,322.54 = 565.41/x
  3. Step 3: Cross multiply
    958.16x = 1,322.54 × 565.41
  4. Step 4: Simplify right side
    958.16x = 747,774.51
  5. Step 5: Solve for x
    x = 747,774.51/958.16
  6. Step 6: Final answer
    x = 780.43

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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.