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Finding the Fourth Proportional to 1,388.24, 2,080.53 and 803.55

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Solution

The fourth proportional to 1,388.24, 2,080.53 and 803.55 is: 1,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.24 : 2,080.53 = 803.55 : x
  2. Step 2: Convert to fraction form
    1,388.24/2,080.53 = 803.55/x
  3. Step 3: Cross multiply
    1,388.24x = 2,080.53 × 803.55
  4. Step 4: Simplify right side
    1,388.24x = 1,671,809.88
  5. Step 5: Solve for x
    x = 1,671,809.88/1,388.24
  6. Step 6: Final answer
    x = 1,204.27

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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.