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Finding the Fourth Proportional to 952.61, 1,428.90 and 514.22

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Solution

The fourth proportional to 952.61, 1,428.90 and 514.22 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.61 : 1,428.90 = 514.22 : x
  2. Step 2: Convert to fraction form
    952.61/1,428.90 = 514.22/x
  3. Step 3: Cross multiply
    952.61x = 1,428.90 × 514.22
  4. Step 4: Simplify right side
    952.61x = 734,761.81
  5. Step 5: Solve for x
    x = 734,761.81/952.61
  6. Step 6: Final answer
    x = 771.32

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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.