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Finding the Fourth Proportional to 965.95, 1,450.87 and 576.71

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Solution

The fourth proportional to 965.95, 1,450.87 and 576.71 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.95 : 1,450.87 = 576.71 : x
  2. Step 2: Convert to fraction form
    965.95/1,450.87 = 576.71/x
  3. Step 3: Cross multiply
    965.95x = 1,450.87 × 576.71
  4. Step 4: Simplify right side
    965.95x = 836,728.35
  5. Step 5: Solve for x
    x = 836,728.35/965.95
  6. Step 6: Final answer
    x = 866.22

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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.