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Finding the Fourth Proportional to 1,252.16, 1,724.40 and 1,004.48

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Solution

The fourth proportional to 1,252.16, 1,724.40 and 1,004.48 is: 1,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.16 : 1,724.40 = 1,004.48 : x
  2. Step 2: Convert to fraction form
    1,252.16/1,724.40 = 1,004.48/x
  3. Step 3: Cross multiply
    1,252.16x = 1,724.40 × 1,004.48
  4. Step 4: Simplify right side
    1,252.16x = 1,732,125.31
  5. Step 5: Solve for x
    x = 1,732,125.31/1,252.16
  6. Step 6: Final answer
    x = 1,383.31

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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.