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Finding the Fourth Proportional to 1,178.38, 1,626.01 and 654.31

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Solution

The fourth proportional to 1,178.38, 1,626.01 and 654.31 is: 902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.38 : 1,626.01 = 654.31 : x
  2. Step 2: Convert to fraction form
    1,178.38/1,626.01 = 654.31/x
  3. Step 3: Cross multiply
    1,178.38x = 1,626.01 × 654.31
  4. Step 4: Simplify right side
    1,178.38x = 1,063,914.60
  5. Step 5: Solve for x
    x = 1,063,914.60/1,178.38
  6. Step 6: Final answer
    x = 902.86

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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.