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Finding the Fourth Proportional to 948.05, 1,308.33 and 574.97

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Solution

The fourth proportional to 948.05, 1,308.33 and 574.97 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.05 : 1,308.33 = 574.97 : x
  2. Step 2: Convert to fraction form
    948.05/1,308.33 = 574.97/x
  3. Step 3: Cross multiply
    948.05x = 1,308.33 × 574.97
  4. Step 4: Simplify right side
    948.05x = 752,250.50
  5. Step 5: Solve for x
    x = 752,250.50/948.05
  6. Step 6: Final answer
    x = 793.47

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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.