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Finding the Fourth Proportional to 1,380.99, 1,903.71 and 1,008.39

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Solution

The fourth proportional to 1,380.99, 1,903.71 and 1,008.39 is: 1,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.99 : 1,903.71 = 1,008.39 : x
  2. Step 2: Convert to fraction form
    1,380.99/1,903.71 = 1,008.39/x
  3. Step 3: Cross multiply
    1,380.99x = 1,903.71 × 1,008.39
  4. Step 4: Simplify right side
    1,380.99x = 1,919,682.13
  5. Step 5: Solve for x
    x = 1,919,682.13/1,380.99
  6. Step 6: Final answer
    x = 1,390.08

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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.