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Finding the Fourth Proportional to 1,179.42, 1,627.03 and 707.09

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Solution

The fourth proportional to 1,179.42, 1,627.03 and 707.09 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.42 : 1,627.03 = 707.09 : x
  2. Step 2: Convert to fraction form
    1,179.42/1,627.03 = 707.09/x
  3. Step 3: Cross multiply
    1,179.42x = 1,627.03 × 707.09
  4. Step 4: Simplify right side
    1,179.42x = 1,150,456.64
  5. Step 5: Solve for x
    x = 1,150,456.64/1,179.42
  6. Step 6: Final answer
    x = 975.44

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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.