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Finding the Fourth Proportional to 1,435.80, 2,153.40 and 850.44

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Solution

The fourth proportional to 1,435.80, 2,153.40 and 850.44 is: 1,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.80 : 2,153.40 = 850.44 : x
  2. Step 2: Convert to fraction form
    1,435.80/2,153.40 = 850.44/x
  3. Step 3: Cross multiply
    1,435.80x = 2,153.40 × 850.44
  4. Step 4: Simplify right side
    1,435.80x = 1,831,337.50
  5. Step 5: Solve for x
    x = 1,831,337.50/1,435.80
  6. Step 6: Final answer
    x = 1,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.