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Finding the Fourth Proportional to 1,414.64, 1,952.21 and 785.18

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Solution

The fourth proportional to 1,414.64, 1,952.21 and 785.18 is: 1,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.64 : 1,952.21 = 785.18 : x
  2. Step 2: Convert to fraction form
    1,414.64/1,952.21 = 785.18/x
  3. Step 3: Cross multiply
    1,414.64x = 1,952.21 × 785.18
  4. Step 4: Simplify right side
    1,414.64x = 1,532,828.45
  5. Step 5: Solve for x
    x = 1,532,828.45/1,414.64
  6. Step 6: Final answer
    x = 1,083.55

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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.