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Finding the Fourth Proportional to 843.14, 1,264.82 and 410

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Solution

The fourth proportional to 843.14, 1,264.82 and 410 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,264.82 = 410 : x
  2. Step 2: Convert to fraction form
    843.14/1,264.82 = 410/x
  3. Step 3: Cross multiply
    843.14x = 1,264.82 × 410
  4. Step 4: Simplify right side
    843.14x = 518,576.20
  5. Step 5: Solve for x
    x = 518,576.20/843.14
  6. Step 6: Final answer
    x = 615.05

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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.