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Finding the Fourth Proportional to 1,390.71, 2,086.07 and 416.82

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Solution

The fourth proportional to 1,390.71, 2,086.07 and 416.82 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.71 : 2,086.07 = 416.82 : x
  2. Step 2: Convert to fraction form
    1,390.71/2,086.07 = 416.82/x
  3. Step 3: Cross multiply
    1,390.71x = 2,086.07 × 416.82
  4. Step 4: Simplify right side
    1,390.71x = 869,515.70
  5. Step 5: Solve for x
    x = 869,515.70/1,390.71
  6. Step 6: Final answer
    x = 625.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.