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Finding the Fourth Proportional to 1,363.09, 1,880.74 and 803.58

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Solution

The fourth proportional to 1,363.09, 1,880.74 and 803.58 is: 1,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.09 : 1,880.74 = 803.58 : x
  2. Step 2: Convert to fraction form
    1,363.09/1,880.74 = 803.58/x
  3. Step 3: Cross multiply
    1,363.09x = 1,880.74 × 803.58
  4. Step 4: Simplify right side
    1,363.09x = 1,511,325.05
  5. Step 5: Solve for x
    x = 1,511,325.05/1,363.09
  6. Step 6: Final answer
    x = 1,108.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.