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Finding the Fourth Proportional to 1,051.42, 1,576.21 and 758.20

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Solution

The fourth proportional to 1,051.42, 1,576.21 and 758.20 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,576.21 = 758.20 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,576.21 = 758.20/x
  3. Step 3: Cross multiply
    1,051.42x = 1,576.21 × 758.20
  4. Step 4: Simplify right side
    1,051.42x = 1,195,082.42
  5. Step 5: Solve for x
    x = 1,195,082.42/1,051.42
  6. Step 6: Final answer
    x = 1,136.64

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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.