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Finding the Fourth Proportional to 1,150.82, 1,588.14 and 626.84

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Solution

The fourth proportional to 1,150.82, 1,588.14 and 626.84 is: 865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.82 : 1,588.14 = 626.84 : x
  2. Step 2: Convert to fraction form
    1,150.82/1,588.14 = 626.84/x
  3. Step 3: Cross multiply
    1,150.82x = 1,588.14 × 626.84
  4. Step 4: Simplify right side
    1,150.82x = 995,509.68
  5. Step 5: Solve for x
    x = 995,509.68/1,150.82
  6. Step 6: Final answer
    x = 865.04

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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.