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Finding the Fourth Proportional to 1,576.62, 2,363.27 and 535.63

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Solution

The fourth proportional to 1,576.62, 2,363.27 and 535.63 is: 802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.62 : 2,363.27 = 535.63 : x
  2. Step 2: Convert to fraction form
    1,576.62/2,363.27 = 535.63/x
  3. Step 3: Cross multiply
    1,576.62x = 2,363.27 × 535.63
  4. Step 4: Simplify right side
    1,576.62x = 1,265,838.31
  5. Step 5: Solve for x
    x = 1,265,838.31/1,576.62
  6. Step 6: Final answer
    x = 802.88

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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.