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Finding the Fourth Proportional to 948.77, 1,309.39 and 575.84

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Solution

The fourth proportional to 948.77, 1,309.39 and 575.84 is: 794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.77 : 1,309.39 = 575.84 : x
  2. Step 2: Convert to fraction form
    948.77/1,309.39 = 575.84/x
  3. Step 3: Cross multiply
    948.77x = 1,309.39 × 575.84
  4. Step 4: Simplify right side
    948.77x = 753,999.14
  5. Step 5: Solve for x
    x = 753,999.14/948.77
  6. Step 6: Final answer
    x = 794.71

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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.