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Finding the Fourth Proportional to 948.23, 1,308.19 and 575.07

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Solution

The fourth proportional to 948.23, 1,308.19 and 575.07 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.23 : 1,308.19 = 575.07 : x
  2. Step 2: Convert to fraction form
    948.23/1,308.19 = 575.07/x
  3. Step 3: Cross multiply
    948.23x = 1,308.19 × 575.07
  4. Step 4: Simplify right side
    948.23x = 752,297.95
  5. Step 5: Solve for x
    x = 752,297.95/948.23
  6. Step 6: Final answer
    x = 793.37

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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.