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Finding the Fourth Proportional to 935.57, 1,403.41 and 472.81

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Solution

The fourth proportional to 935.57, 1,403.41 and 472.81 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.57 : 1,403.41 = 472.81 : x
  2. Step 2: Convert to fraction form
    935.57/1,403.41 = 472.81/x
  3. Step 3: Cross multiply
    935.57x = 1,403.41 × 472.81
  4. Step 4: Simplify right side
    935.57x = 663,546.28
  5. Step 5: Solve for x
    x = 663,546.28/935.57
  6. Step 6: Final answer
    x = 709.24

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Why These Related Problems?

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