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Finding the Fourth Proportional to 1,390.68, 2,084.25 and 567.99

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Solution

The fourth proportional to 1,390.68, 2,084.25 and 567.99 is: 851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.68 : 2,084.25 = 567.99 : x
  2. Step 2: Convert to fraction form
    1,390.68/2,084.25 = 567.99/x
  3. Step 3: Cross multiply
    1,390.68x = 2,084.25 × 567.99
  4. Step 4: Simplify right side
    1,390.68x = 1,183,833.16
  5. Step 5: Solve for x
    x = 1,183,833.16/1,390.68
  6. Step 6: Final answer
    x = 851.26

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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.