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Finding the Fourth Proportional to 891.39, 1,230.09 and 498.42

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Solution

The fourth proportional to 891.39, 1,230.09 and 498.42 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.39 : 1,230.09 = 498.42 : x
  2. Step 2: Convert to fraction form
    891.39/1,230.09 = 498.42/x
  3. Step 3: Cross multiply
    891.39x = 1,230.09 × 498.42
  4. Step 4: Simplify right side
    891.39x = 613,101.46
  5. Step 5: Solve for x
    x = 613,101.46/891.39
  6. Step 6: Final answer
    x = 687.80

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1.5x scale

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.