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Finding the Fourth Proportional to 891.62, 1,230.36 and 498.50

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Solution

The fourth proportional to 891.62, 1,230.36 and 498.50 is: 687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.62 : 1,230.36 = 498.50 : x
  2. Step 2: Convert to fraction form
    891.62/1,230.36 = 498.50/x
  3. Step 3: Cross multiply
    891.62x = 1,230.36 × 498.50
  4. Step 4: Simplify right side
    891.62x = 613,334.46
  5. Step 5: Solve for x
    x = 613,334.46/891.62
  6. Step 6: Final answer
    x = 687.89

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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.