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Finding the Fourth Proportional to 1,576.25, 2,364.17 and 536.21

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Solution

The fourth proportional to 1,576.25, 2,364.17 and 536.21 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.25 : 2,364.17 = 536.21 : x
  2. Step 2: Convert to fraction form
    1,576.25/2,364.17 = 536.21/x
  3. Step 3: Cross multiply
    1,576.25x = 2,364.17 × 536.21
  4. Step 4: Simplify right side
    1,576.25x = 1,267,685.96
  5. Step 5: Solve for x
    x = 1,267,685.96/1,576.25
  6. Step 6: Final answer
    x = 804.24

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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.