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Finding the Fourth Proportional to 948.85, 1,309.50 and 575.78

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Solution

The fourth proportional to 948.85, 1,309.50 and 575.78 is: 794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.85 : 1,309.50 = 575.78 : x
  2. Step 2: Convert to fraction form
    948.85/1,309.50 = 575.78/x
  3. Step 3: Cross multiply
    948.85x = 1,309.50 × 575.78
  4. Step 4: Simplify right side
    948.85x = 753,977.36
  5. Step 5: Solve for x
    x = 753,977.36/948.85
  6. Step 6: Final answer
    x = 794.62

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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.