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Finding the Fourth Proportional to 1,179.10, 1,627 and 655.03

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Solution

The fourth proportional to 1,179.10, 1,627 and 655.03 is: 903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.10 : 1,627 = 655.03 : x
  2. Step 2: Convert to fraction form
    1,179.10/1,627 = 655.03/x
  3. Step 3: Cross multiply
    1,179.10x = 1,627 × 655.03
  4. Step 4: Simplify right side
    1,179.10x = 1,065,733.81
  5. Step 5: Solve for x
    x = 1,065,733.81/1,179.10
  6. Step 6: Final answer
    x = 903.85

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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.