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Finding the Fourth Proportional to 758.81, 1,047.17 and 427.22

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Solution

The fourth proportional to 758.81, 1,047.17 and 427.22 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.81 : 1,047.17 = 427.22 : x
  2. Step 2: Convert to fraction form
    758.81/1,047.17 = 427.22/x
  3. Step 3: Cross multiply
    758.81x = 1,047.17 × 427.22
  4. Step 4: Simplify right side
    758.81x = 447,374.05
  5. Step 5: Solve for x
    x = 447,374.05/758.81
  6. Step 6: Final answer
    x = 589.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.