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Finding the Fourth Proportional to 1,059.69, 1,462.94 and 640.14

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Solution

The fourth proportional to 1,059.69, 1,462.94 and 640.14 is: 883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.69 : 1,462.94 = 640.14 : x
  2. Step 2: Convert to fraction form
    1,059.69/1,462.94 = 640.14/x
  3. Step 3: Cross multiply
    1,059.69x = 1,462.94 × 640.14
  4. Step 4: Simplify right side
    1,059.69x = 936,486.41
  5. Step 5: Solve for x
    x = 936,486.41/1,059.69
  6. Step 6: Final answer
    x = 883.74

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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.