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Finding the Fourth Proportional to 1,022.94, 1,534.57 and 919.62

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Solution

The fourth proportional to 1,022.94, 1,534.57 and 919.62 is: 1,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.94 : 1,534.57 = 919.62 : x
  2. Step 2: Convert to fraction form
    1,022.94/1,534.57 = 919.62/x
  3. Step 3: Cross multiply
    1,022.94x = 1,534.57 × 919.62
  4. Step 4: Simplify right side
    1,022.94x = 1,411,221.26
  5. Step 5: Solve for x
    x = 1,411,221.26/1,022.94
  6. Step 6: Final answer
    x = 1,379.57

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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.