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Finding the Fourth Proportional to 1,467.14, 2,024.62 and 803.96

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Solution

The fourth proportional to 1,467.14, 2,024.62 and 803.96 is: 1,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.14 : 2,024.62 = 803.96 : x
  2. Step 2: Convert to fraction form
    1,467.14/2,024.62 = 803.96/x
  3. Step 3: Cross multiply
    1,467.14x = 2,024.62 × 803.96
  4. Step 4: Simplify right side
    1,467.14x = 1,627,713.50
  5. Step 5: Solve for x
    x = 1,627,713.50/1,467.14
  6. Step 6: Final answer
    x = 1,109.45

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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.