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Finding the Fourth Proportional to 938.47, 1,407.77 and 527.96

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Solution

The fourth proportional to 938.47, 1,407.77 and 527.96 is: 791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.47 : 1,407.77 = 527.96 : x
  2. Step 2: Convert to fraction form
    938.47/1,407.77 = 527.96/x
  3. Step 3: Cross multiply
    938.47x = 1,407.77 × 527.96
  4. Step 4: Simplify right side
    938.47x = 743,238.47
  5. Step 5: Solve for x
    x = 743,238.47/938.47
  6. Step 6: Final answer
    x = 791.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.