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Finding the Fourth Proportional to 1,051.17, 1,576.75 and 320.75

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Solution

The fourth proportional to 1,051.17, 1,576.75 and 320.75 is: 481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.17 : 1,576.75 = 320.75 : x
  2. Step 2: Convert to fraction form
    1,051.17/1,576.75 = 320.75/x
  3. Step 3: Cross multiply
    1,051.17x = 1,576.75 × 320.75
  4. Step 4: Simplify right side
    1,051.17x = 505,742.56
  5. Step 5: Solve for x
    x = 505,742.56/1,051.17
  6. Step 6: Final answer
    x = 481.12

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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.