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Finding the Fourth Proportional to 1,051.65, 1,576.67 and 531.23

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Solution

The fourth proportional to 1,051.65, 1,576.67 and 531.23 is: 796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.65 : 1,576.67 = 531.23 : x
  2. Step 2: Convert to fraction form
    1,051.65/1,576.67 = 531.23/x
  3. Step 3: Cross multiply
    1,051.65x = 1,576.67 × 531.23
  4. Step 4: Simplify right side
    1,051.65x = 837,563.86
  5. Step 5: Solve for x
    x = 837,563.86/1,051.65
  6. Step 6: Final answer
    x = 796.43

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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.