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Finding the Fourth Proportional to 950.04, 1,310.78 and 571.76

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Solution

The fourth proportional to 950.04, 1,310.78 and 571.76 is: 788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,310.78 = 571.76 : x
  2. Step 2: Convert to fraction form
    950.04/1,310.78 = 571.76/x
  3. Step 3: Cross multiply
    950.04x = 1,310.78 × 571.76
  4. Step 4: Simplify right side
    950.04x = 749,451.57
  5. Step 5: Solve for x
    x = 749,451.57/950.04
  6. Step 6: Final answer
    x = 788.86

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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.