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Finding the Fourth Proportional to 1,086.45, 1,627.59 and 867.51

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Solution

The fourth proportional to 1,086.45, 1,627.59 and 867.51 is: 1,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.45 : 1,627.59 = 867.51 : x
  2. Step 2: Convert to fraction form
    1,086.45/1,627.59 = 867.51/x
  3. Step 3: Cross multiply
    1,086.45x = 1,627.59 × 867.51
  4. Step 4: Simplify right side
    1,086.45x = 1,411,950.60
  5. Step 5: Solve for x
    x = 1,411,950.60/1,086.45
  6. Step 6: Final answer
    x = 1,299.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.