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Finding the Fourth Proportional to 951.82, 1,428.33 and 464.91

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Solution

The fourth proportional to 951.82, 1,428.33 and 464.91 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.82 : 1,428.33 = 464.91 : x
  2. Step 2: Convert to fraction form
    951.82/1,428.33 = 464.91/x
  3. Step 3: Cross multiply
    951.82x = 1,428.33 × 464.91
  4. Step 4: Simplify right side
    951.82x = 664,041.29
  5. Step 5: Solve for x
    x = 664,041.29/951.82
  6. Step 6: Final answer
    x = 697.66

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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.