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Finding the Fourth Proportional to 1,177.96, 1,625.61 and 654.04

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Solution

The fourth proportional to 1,177.96, 1,625.61 and 654.04 is: 902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.96 : 1,625.61 = 654.04 : x
  2. Step 2: Convert to fraction form
    1,177.96/1,625.61 = 654.04/x
  3. Step 3: Cross multiply
    1,177.96x = 1,625.61 × 654.04
  4. Step 4: Simplify right side
    1,177.96x = 1,063,213.96
  5. Step 5: Solve for x
    x = 1,063,213.96/1,177.96
  6. Step 6: Final answer
    x = 902.59

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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.