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Finding the Fourth Proportional to 952.59, 1,427.27 and 770.07

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Solution

The fourth proportional to 952.59, 1,427.27 and 770.07 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.59 : 1,427.27 = 770.07 : x
  2. Step 2: Convert to fraction form
    952.59/1,427.27 = 770.07/x
  3. Step 3: Cross multiply
    952.59x = 1,427.27 × 770.07
  4. Step 4: Simplify right side
    952.59x = 1,099,093.96
  5. Step 5: Solve for x
    x = 1,099,093.96/952.59
  6. Step 6: Final answer
    x = 1,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.