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Finding the Fourth Proportional to 1,414.50, 1,952.13 and 785.07

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Solution

The fourth proportional to 1,414.50, 1,952.13 and 785.07 is: 1,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.50 : 1,952.13 = 785.07 : x
  2. Step 2: Convert to fraction form
    1,414.50/1,952.13 = 785.07/x
  3. Step 3: Cross multiply
    1,414.50x = 1,952.13 × 785.07
  4. Step 4: Simplify right side
    1,414.50x = 1,532,549.53
  5. Step 5: Solve for x
    x = 1,532,549.53/1,414.50
  6. Step 6: Final answer
    x = 1,083.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.