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Finding the Fourth Proportional to 842.82, 1,264.47 and 410.22

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Solution

The fourth proportional to 842.82, 1,264.47 and 410.22 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.82 : 1,264.47 = 410.22 : x
  2. Step 2: Convert to fraction form
    842.82/1,264.47 = 410.22/x
  3. Step 3: Cross multiply
    842.82x = 1,264.47 × 410.22
  4. Step 4: Simplify right side
    842.82x = 518,710.88
  5. Step 5: Solve for x
    x = 518,710.88/842.82
  6. Step 6: Final answer
    x = 615.45

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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.