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Finding the Fourth Proportional to 966.70, 1,450.16 and 473.29

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Solution

The fourth proportional to 966.70, 1,450.16 and 473.29 is: 709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.70 : 1,450.16 = 473.29 : x
  2. Step 2: Convert to fraction form
    966.70/1,450.16 = 473.29/x
  3. Step 3: Cross multiply
    966.70x = 1,450.16 × 473.29
  4. Step 4: Simplify right side
    966.70x = 686,342.01
  5. Step 5: Solve for x
    x = 686,342.01/966.70
  6. Step 6: Final answer
    x = 709.98

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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.