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Finding the Fourth Proportional to 843.08, 1,264.88 and 410.24

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Solution

The fourth proportional to 843.08, 1,264.88 and 410.24 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.08 : 1,264.88 = 410.24 : x
  2. Step 2: Convert to fraction form
    843.08/1,264.88 = 410.24/x
  3. Step 3: Cross multiply
    843.08x = 1,264.88 × 410.24
  4. Step 4: Simplify right side
    843.08x = 518,904.37
  5. Step 5: Solve for x
    x = 518,904.37/843.08
  6. Step 6: Final answer
    x = 615.49

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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.