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Finding the Fourth Proportional to 1,406.87, 2,109.86 and 584.99

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Solution

The fourth proportional to 1,406.87, 2,109.86 and 584.99 is: 877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.87 : 2,109.86 = 584.99 : x
  2. Step 2: Convert to fraction form
    1,406.87/2,109.86 = 584.99/x
  3. Step 3: Cross multiply
    1,406.87x = 2,109.86 × 584.99
  4. Step 4: Simplify right side
    1,406.87x = 1,234,233.53
  5. Step 5: Solve for x
    x = 1,234,233.53/1,406.87
  6. Step 6: Final answer
    x = 877.29

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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.