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Finding the Fourth Proportional to 854.40, 1,283.05 and 810.56

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Solution

The fourth proportional to 854.40, 1,283.05 and 810.56 is: 1,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.40 : 1,283.05 = 810.56 : x
  2. Step 2: Convert to fraction form
    854.40/1,283.05 = 810.56/x
  3. Step 3: Cross multiply
    854.40x = 1,283.05 × 810.56
  4. Step 4: Simplify right side
    854.40x = 1,039,989.01
  5. Step 5: Solve for x
    x = 1,039,989.01/854.40
  6. Step 6: Final answer
    x = 1,217.22

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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.