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Finding the Fourth Proportional to 1,179.54, 1,627.83 and 707.58

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Solution

The fourth proportional to 1,179.54, 1,627.83 and 707.58 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.54 : 1,627.83 = 707.58 : x
  2. Step 2: Convert to fraction form
    1,179.54/1,627.83 = 707.58/x
  3. Step 3: Cross multiply
    1,179.54x = 1,627.83 × 707.58
  4. Step 4: Simplify right side
    1,179.54x = 1,151,819.95
  5. Step 5: Solve for x
    x = 1,151,819.95/1,179.54
  6. Step 6: Final answer
    x = 976.50

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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.