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Finding the Fourth Proportional to 1,380.49, 1,903.02 and 1,007.89

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Solution

The fourth proportional to 1,380.49, 1,903.02 and 1,007.89 is: 1,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.49 : 1,903.02 = 1,007.89 : x
  2. Step 2: Convert to fraction form
    1,380.49/1,903.02 = 1,007.89/x
  3. Step 3: Cross multiply
    1,380.49x = 1,903.02 × 1,007.89
  4. Step 4: Simplify right side
    1,380.49x = 1,918,034.83
  5. Step 5: Solve for x
    x = 1,918,034.83/1,380.49
  6. Step 6: Final answer
    x = 1,389.39

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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.