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Finding the Fourth Proportional to 935.26, 1,402.70 and 472.56

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Solution

The fourth proportional to 935.26, 1,402.70 and 472.56 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.26 : 1,402.70 = 472.56 : x
  2. Step 2: Convert to fraction form
    935.26/1,402.70 = 472.56/x
  3. Step 3: Cross multiply
    935.26x = 1,402.70 × 472.56
  4. Step 4: Simplify right side
    935.26x = 662,859.91
  5. Step 5: Solve for x
    x = 662,859.91/935.26
  6. Step 6: Final answer
    x = 708.74

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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.