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Finding the Fourth Proportional to 950.52, 1,310.90 and 577.50

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Solution

The fourth proportional to 950.52, 1,310.90 and 577.50 is: 796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.52 : 1,310.90 = 577.50 : x
  2. Step 2: Convert to fraction form
    950.52/1,310.90 = 577.50/x
  3. Step 3: Cross multiply
    950.52x = 1,310.90 × 577.50
  4. Step 4: Simplify right side
    950.52x = 757,044.75
  5. Step 5: Solve for x
    x = 757,044.75/950.52
  6. Step 6: Final answer
    x = 796.45

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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.