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Finding the Fourth Proportional to 1,314.83, 1,813.16 and 1,019.99

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Solution

The fourth proportional to 1,314.83, 1,813.16 and 1,019.99 is: 1,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.83 : 1,813.16 = 1,019.99 : x
  2. Step 2: Convert to fraction form
    1,314.83/1,813.16 = 1,019.99/x
  3. Step 3: Cross multiply
    1,314.83x = 1,813.16 × 1,019.99
  4. Step 4: Simplify right side
    1,314.83x = 1,849,390.90
  5. Step 5: Solve for x
    x = 1,849,390.90/1,314.83
  6. Step 6: Final answer
    x = 1,406.57

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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.