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Finding the Fourth Proportional to 948.30, 1,308.69 and 575.22

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Solution

The fourth proportional to 948.30, 1,308.69 and 575.22 is: 793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.30 : 1,308.69 = 575.22 : x
  2. Step 2: Convert to fraction form
    948.30/1,308.69 = 575.22/x
  3. Step 3: Cross multiply
    948.30x = 1,308.69 × 575.22
  4. Step 4: Simplify right side
    948.30x = 752,784.66
  5. Step 5: Solve for x
    x = 752,784.66/948.30
  6. Step 6: Final answer
    x = 793.83

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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.