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Finding the Fourth Proportional to 935.10, 1,401.96 and 472.66

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Solution

The fourth proportional to 935.10, 1,401.96 and 472.66 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.10 : 1,401.96 = 472.66 : x
  2. Step 2: Convert to fraction form
    935.10/1,401.96 = 472.66/x
  3. Step 3: Cross multiply
    935.10x = 1,401.96 × 472.66
  4. Step 4: Simplify right side
    935.10x = 662,650.41
  5. Step 5: Solve for x
    x = 662,650.41/935.10
  6. Step 6: Final answer
    x = 708.64

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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.