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Finding the Fourth Proportional to 1,414.58, 1,952.10 and 785.11

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Solution

The fourth proportional to 1,414.58, 1,952.10 and 785.11 is: 1,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.58 : 1,952.10 = 785.11 : x
  2. Step 2: Convert to fraction form
    1,414.58/1,952.10 = 785.11/x
  3. Step 3: Cross multiply
    1,414.58x = 1,952.10 × 785.11
  4. Step 4: Simplify right side
    1,414.58x = 1,532,608.35
  5. Step 5: Solve for x
    x = 1,532,608.35/1,414.58
  6. Step 6: Final answer
    x = 1,083.44

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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.