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Finding the Fourth Proportional to 953.70, 1,429.20 and 704.97

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Solution

The fourth proportional to 953.70, 1,429.20 and 704.97 is: 1,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.70 : 1,429.20 = 704.97 : x
  2. Step 2: Convert to fraction form
    953.70/1,429.20 = 704.97/x
  3. Step 3: Cross multiply
    953.70x = 1,429.20 × 704.97
  4. Step 4: Simplify right side
    953.70x = 1,007,535.98
  5. Step 5: Solve for x
    x = 1,007,535.98/953.70
  6. Step 6: Final answer
    x = 1,056.45

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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.