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Finding the Fourth Proportional to 950.36, 1,313.34 and 772.96

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Solution

The fourth proportional to 950.36, 1,313.34 and 772.96 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.36 : 1,313.34 = 772.96 : x
  2. Step 2: Convert to fraction form
    950.36/1,313.34 = 772.96/x
  3. Step 3: Cross multiply
    950.36x = 1,313.34 × 772.96
  4. Step 4: Simplify right side
    950.36x = 1,015,159.29
  5. Step 5: Solve for x
    x = 1,015,159.29/950.36
  6. Step 6: Final answer
    x = 1,068.18

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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.