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Finding the Fourth Proportional to 1,179.68, 1,627.96 and 655.72

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Solution

The fourth proportional to 1,179.68, 1,627.96 and 655.72 is: 904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.68 : 1,627.96 = 655.72 : x
  2. Step 2: Convert to fraction form
    1,179.68/1,627.96 = 655.72/x
  3. Step 3: Cross multiply
    1,179.68x = 1,627.96 × 655.72
  4. Step 4: Simplify right side
    1,179.68x = 1,067,485.93
  5. Step 5: Solve for x
    x = 1,067,485.93/1,179.68
  6. Step 6: Final answer
    x = 904.89

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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.