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Finding the Fourth Proportional to 948.80, 1,308.78 and 575.93

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Solution

The fourth proportional to 948.80, 1,308.78 and 575.93 is: 794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.80 : 1,308.78 = 575.93 : x
  2. Step 2: Convert to fraction form
    948.80/1,308.78 = 575.93/x
  3. Step 3: Cross multiply
    948.80x = 1,308.78 × 575.93
  4. Step 4: Simplify right side
    948.80x = 753,765.67
  5. Step 5: Solve for x
    x = 753,765.67/948.80
  6. Step 6: Final answer
    x = 794.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.