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Finding the Fourth Proportional to 1,252.84, 1,726.89 and 1,003.78

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Solution

The fourth proportional to 1,252.84, 1,726.89 and 1,003.78 is: 1,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.84 : 1,726.89 = 1,003.78 : x
  2. Step 2: Convert to fraction form
    1,252.84/1,726.89 = 1,003.78/x
  3. Step 3: Cross multiply
    1,252.84x = 1,726.89 × 1,003.78
  4. Step 4: Simplify right side
    1,252.84x = 1,733,417.64
  5. Step 5: Solve for x
    x = 1,733,417.64/1,252.84
  6. Step 6: Final answer
    x = 1,383.59

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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.