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Finding the Fourth Proportional to 1,079.30, 1,618.93 and 385.78

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Solution

The fourth proportional to 1,079.30, 1,618.93 and 385.78 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.30 : 1,618.93 = 385.78 : x
  2. Step 2: Convert to fraction form
    1,079.30/1,618.93 = 385.78/x
  3. Step 3: Cross multiply
    1,079.30x = 1,618.93 × 385.78
  4. Step 4: Simplify right side
    1,079.30x = 624,551.78
  5. Step 5: Solve for x
    x = 624,551.78/1,079.30
  6. Step 6: Final answer
    x = 578.66

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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.