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Finding the Fourth Proportional to 1,164.34, 1,606.74 and 640.36

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Solution

The fourth proportional to 1,164.34, 1,606.74 and 640.36 is: 883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,606.74 = 640.36 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,606.74 = 640.36/x
  3. Step 3: Cross multiply
    1,164.34x = 1,606.74 × 640.36
  4. Step 4: Simplify right side
    1,164.34x = 1,028,883.99
  5. Step 5: Solve for x
    x = 1,028,883.99/1,164.34
  6. Step 6: Final answer
    x = 883.67

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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.