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Finding the Fourth Proportional to 872.88, 1,308.60 and 599.49

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Solution

The fourth proportional to 872.88, 1,308.60 and 599.49 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,308.60 = 599.49 : x
  2. Step 2: Convert to fraction form
    872.88/1,308.60 = 599.49/x
  3. Step 3: Cross multiply
    872.88x = 1,308.60 × 599.49
  4. Step 4: Simplify right side
    872.88x = 784,492.61
  5. Step 5: Solve for x
    x = 784,492.61/872.88
  6. Step 6: Final answer
    x = 898.74

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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.