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Finding the Fourth Proportional to 938.64, 1,406.34 and 505.56

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Solution

The fourth proportional to 938.64, 1,406.34 and 505.56 is: 757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.64 : 1,406.34 = 505.56 : x
  2. Step 2: Convert to fraction form
    938.64/1,406.34 = 505.56/x
  3. Step 3: Cross multiply
    938.64x = 1,406.34 × 505.56
  4. Step 4: Simplify right side
    938.64x = 710,989.25
  5. Step 5: Solve for x
    x = 710,989.25/938.64
  6. Step 6: Final answer
    x = 757.47

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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.