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Finding the Fourth Proportional to 872.88, 1,308.77 and 410.75

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Solution

The fourth proportional to 872.88, 1,308.77 and 410.75 is: 615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,308.77 = 410.75 : x
  2. Step 2: Convert to fraction form
    872.88/1,308.77 = 410.75/x
  3. Step 3: Cross multiply
    872.88x = 1,308.77 × 410.75
  4. Step 4: Simplify right side
    872.88x = 537,577.28
  5. Step 5: Solve for x
    x = 537,577.28/872.88
  6. Step 6: Final answer
    x = 615.87

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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.