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Finding the Fourth Proportional to 950.06, 1,311.09 and 536.06

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Solution

The fourth proportional to 950.06, 1,311.09 and 536.06 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.06 : 1,311.09 = 536.06 : x
  2. Step 2: Convert to fraction form
    950.06/1,311.09 = 536.06/x
  3. Step 3: Cross multiply
    950.06x = 1,311.09 × 536.06
  4. Step 4: Simplify right side
    950.06x = 702,824.17
  5. Step 5: Solve for x
    x = 702,824.17/950.06
  6. Step 6: Final answer
    x = 739.77

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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.