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Finding the Fourth Proportional to 1,179.43, 1,627.64 and 655.49

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Solution

The fourth proportional to 1,179.43, 1,627.64 and 655.49 is: 904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.43 : 1,627.64 = 655.49 : x
  2. Step 2: Convert to fraction form
    1,179.43/1,627.64 = 655.49/x
  3. Step 3: Cross multiply
    1,179.43x = 1,627.64 × 655.49
  4. Step 4: Simplify right side
    1,179.43x = 1,066,901.74
  5. Step 5: Solve for x
    x = 1,066,901.74/1,179.43
  6. Step 6: Final answer
    x = 904.59

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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.