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Finding the Fourth Proportional to 1,179.76, 1,628.06 and 655.80

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Solution

The fourth proportional to 1,179.76, 1,628.06 and 655.80 is: 905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.76 : 1,628.06 = 655.80 : x
  2. Step 2: Convert to fraction form
    1,179.76/1,628.06 = 655.80/x
  3. Step 3: Cross multiply
    1,179.76x = 1,628.06 × 655.80
  4. Step 4: Simplify right side
    1,179.76x = 1,067,681.75
  5. Step 5: Solve for x
    x = 1,067,681.75/1,179.76
  6. Step 6: Final answer
    x = 905.00

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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.