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Finding the Fourth Proportional to 842.94, 1,264.41 and 410.13

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Solution

The fourth proportional to 842.94, 1,264.41 and 410.13 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.94 : 1,264.41 = 410.13 : x
  2. Step 2: Convert to fraction form
    842.94/1,264.41 = 410.13/x
  3. Step 3: Cross multiply
    842.94x = 1,264.41 × 410.13
  4. Step 4: Simplify right side
    842.94x = 518,572.47
  5. Step 5: Solve for x
    x = 518,572.47/842.94
  6. Step 6: Final answer
    x = 615.20

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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.