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Finding the Fourth Proportional to 950.77, 1,311.75 and 557.51

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Solution

The fourth proportional to 950.77, 1,311.75 and 557.51 is: 769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.77 : 1,311.75 = 557.51 : x
  2. Step 2: Convert to fraction form
    950.77/1,311.75 = 557.51/x
  3. Step 3: Cross multiply
    950.77x = 1,311.75 × 557.51
  4. Step 4: Simplify right side
    950.77x = 731,313.74
  5. Step 5: Solve for x
    x = 731,313.74/950.77
  6. Step 6: Final answer
    x = 769.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.