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Finding the Fourth Proportional to 950.13, 1,316.25 and 927.45

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Solution

The fourth proportional to 950.13, 1,316.25 and 927.45 is: 1,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.13 : 1,316.25 = 927.45 : x
  2. Step 2: Convert to fraction form
    950.13/1,316.25 = 927.45/x
  3. Step 3: Cross multiply
    950.13x = 1,316.25 × 927.45
  4. Step 4: Simplify right side
    950.13x = 1,220,756.06
  5. Step 5: Solve for x
    x = 1,220,756.06/950.13
  6. Step 6: Final answer
    x = 1,284.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.