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Finding the Fourth Proportional to 950.61, 1,426.47 and 765.75

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Solution

The fourth proportional to 950.61, 1,426.47 and 765.75 is: 1,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.61 : 1,426.47 = 765.75 : x
  2. Step 2: Convert to fraction form
    950.61/1,426.47 = 765.75/x
  3. Step 3: Cross multiply
    950.61x = 1,426.47 × 765.75
  4. Step 4: Simplify right side
    950.61x = 1,092,319.40
  5. Step 5: Solve for x
    x = 1,092,319.40/950.61
  6. Step 6: Final answer
    x = 1,149.07

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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.