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Finding the Fourth Proportional to 1,414.96, 1,952.64 and 785.48

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Solution

The fourth proportional to 1,414.96, 1,952.64 and 785.48 is: 1,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.96 : 1,952.64 = 785.48 : x
  2. Step 2: Convert to fraction form
    1,414.96/1,952.64 = 785.48/x
  3. Step 3: Cross multiply
    1,414.96x = 1,952.64 × 785.48
  4. Step 4: Simplify right side
    1,414.96x = 1,533,759.67
  5. Step 5: Solve for x
    x = 1,533,759.67/1,414.96
  6. Step 6: Final answer
    x = 1,083.96

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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.