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Finding the Fourth Proportional to 891.58, 1,230.24 and 498.46

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Solution

The fourth proportional to 891.58, 1,230.24 and 498.46 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.58 : 1,230.24 = 498.46 : x
  2. Step 2: Convert to fraction form
    891.58/1,230.24 = 498.46/x
  3. Step 3: Cross multiply
    891.58x = 1,230.24 × 498.46
  4. Step 4: Simplify right side
    891.58x = 613,225.43
  5. Step 5: Solve for x
    x = 613,225.43/891.58
  6. Step 6: Final answer
    x = 687.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.