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Finding the Fourth Proportional to 1,576.26, 2,363.76 and 536.05

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Solution

The fourth proportional to 1,576.26, 2,363.76 and 536.05 is: 803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.26 : 2,363.76 = 536.05 : x
  2. Step 2: Convert to fraction form
    1,576.26/2,363.76 = 536.05/x
  3. Step 3: Cross multiply
    1,576.26x = 2,363.76 × 536.05
  4. Step 4: Simplify right side
    1,576.26x = 1,267,079.05
  5. Step 5: Solve for x
    x = 1,267,079.05/1,576.26
  6. Step 6: Final answer
    x = 803.85

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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.