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Finding the Fourth Proportional to 1,179.63, 1,627.95 and 655.69

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Solution

The fourth proportional to 1,179.63, 1,627.95 and 655.69 is: 904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.63 : 1,627.95 = 655.69 : x
  2. Step 2: Convert to fraction form
    1,179.63/1,627.95 = 655.69/x
  3. Step 3: Cross multiply
    1,179.63x = 1,627.95 × 655.69
  4. Step 4: Simplify right side
    1,179.63x = 1,067,430.54
  5. Step 5: Solve for x
    x = 1,067,430.54/1,179.63
  6. Step 6: Final answer
    x = 904.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.