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Finding the Fourth Proportional to 1,059.70, 1,462.12 and 640.30

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Solution

The fourth proportional to 1,059.70, 1,462.12 and 640.30 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.70 : 1,462.12 = 640.30 : x
  2. Step 2: Convert to fraction form
    1,059.70/1,462.12 = 640.30/x
  3. Step 3: Cross multiply
    1,059.70x = 1,462.12 × 640.30
  4. Step 4: Simplify right side
    1,059.70x = 936,195.44
  5. Step 5: Solve for x
    x = 936,195.44/1,059.70
  6. Step 6: Final answer
    x = 883.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.