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Finding the Fourth Proportional to 1,146.82, 1,722.25 and 854.40

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Solution

The fourth proportional to 1,146.82, 1,722.25 and 854.40 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.82 : 1,722.25 = 854.40 : x
  2. Step 2: Convert to fraction form
    1,146.82/1,722.25 = 854.40/x
  3. Step 3: Cross multiply
    1,146.82x = 1,722.25 × 854.40
  4. Step 4: Simplify right side
    1,146.82x = 1,471,490.40
  5. Step 5: Solve for x
    x = 1,471,490.40/1,146.82
  6. Step 6: Final answer
    x = 1,283.10

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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.