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Finding the Fourth Proportional to 1,435.80, 2,153.60 and 395.78

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Solution

The fourth proportional to 1,435.80, 2,153.60 and 395.78 is: 593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.80 : 2,153.60 = 395.78 : x
  2. Step 2: Convert to fraction form
    1,435.80/2,153.60 = 395.78/x
  3. Step 3: Cross multiply
    1,435.80x = 2,153.60 × 395.78
  4. Step 4: Simplify right side
    1,435.80x = 852,340.55
  5. Step 5: Solve for x
    x = 852,340.55/1,435.80
  6. Step 6: Final answer
    x = 593.63

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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.