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Finding the Fourth Proportional to 1,283.58, 1,772.01 and 1,003.19

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Solution

The fourth proportional to 1,283.58, 1,772.01 and 1,003.19 is: 1,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.58 : 1,772.01 = 1,003.19 : x
  2. Step 2: Convert to fraction form
    1,283.58/1,772.01 = 1,003.19/x
  3. Step 3: Cross multiply
    1,283.58x = 1,772.01 × 1,003.19
  4. Step 4: Simplify right side
    1,283.58x = 1,777,653.85
  5. Step 5: Solve for x
    x = 1,777,653.85/1,283.58
  6. Step 6: Final answer
    x = 1,384.92

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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.