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Finding the Fourth Proportional to 891.81, 1,335.97 and 451.98

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Solution

The fourth proportional to 891.81, 1,335.97 and 451.98 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.81 : 1,335.97 = 451.98 : x
  2. Step 2: Convert to fraction form
    891.81/1,335.97 = 451.98/x
  3. Step 3: Cross multiply
    891.81x = 1,335.97 × 451.98
  4. Step 4: Simplify right side
    891.81x = 603,831.01
  5. Step 5: Solve for x
    x = 603,831.01/891.81
  6. Step 6: Final answer
    x = 677.08

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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.