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Finding the Fourth Proportional to 948.27, 1,308.31 and 575.13

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Solution

The fourth proportional to 948.27, 1,308.31 and 575.13 is: 793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,308.31 = 575.13 : x
  2. Step 2: Convert to fraction form
    948.27/1,308.31 = 575.13/x
  3. Step 3: Cross multiply
    948.27x = 1,308.31 × 575.13
  4. Step 4: Simplify right side
    948.27x = 752,448.33
  5. Step 5: Solve for x
    x = 752,448.33/948.27
  6. Step 6: Final answer
    x = 793.50

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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.